Cantrell Lectures
http://www.math.uga.edu/building/cantrell-lectures
en25th Annual Cantrell Lecture Series
http://www.math.uga.edu/events/content/2018/25th-annual-cantrell-lecture-series
<span>25th Annual Cantrell Lecture Series</span>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Mon, 08/06/2018 - 2:08pm</span>
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<div class="field-above"><strong>Date and time:</strong></div>
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<div class="field_date_and_time"><time datetime="2019-08-27T19:30:00Z">Tue, 08/27/2019 - 3:30pm</time></div>
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<div class="field_location">TBA</div>
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<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
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<div class="body"><div class="tex2jax_process"><p>The 2019 Cantrell Lecture Speaker will be Professor Geordie Williamson of the University of Sydney. </p>
<p>Professor Williamson is one of the world's foremost experts in geometric representation theory. His counterexamples to the Lusztig conjecture have led to new and exciting research in the area of modular representation theory, in which he is one of the leaders. Another of his major accomplishments involves joint work with Ben Elias which settled a long-standing conjecture about positivity of Kazhdan-Lusztig polynomials for arbitrary Coxeter groups. Professor Williamson was awarded the Chevalley prize of the AMS (2016), a Clay Research Award (2016), the EMS prize (2016), the New Horizons in Mathematics prize (2017), and was elected a Fellow of the Royal Society (2018).</p>
<p>The lecture series will be scheduled the week of August 26, 2019. Exact dates and time forthcoming.</p>
<p> </p>
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Mon, 06 Aug 2018 18:08:41 +0000juleigh2662 at http://www.math.uga.edu24th Annual Cantrell Lecture Series
http://www.math.uga.edu/events/content/2017/24th-annual-cantrell-lecture-series
<span>24th Annual Cantrell Lecture Series</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/1.sound_.jpg?itok=NXKXtFXf 1x" media="all and (min-width: 90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/1.sound_.jpg?itok=NXKXtFXf 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/1.sound_.jpg?itok=7eZlhVs7 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/1.sound_.jpg?itok=LS-2skHk 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/1.sound_.jpg?itok=NXKXtFXf 1x" media="(min-width: 0em)" type="image/jpeg"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/1.sound_.jpg?itok=jiXFDiHp" alt="sound" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Tue, 12/05/2017 - 4:09pm</span>
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<div class="field-above"><strong>Date and time:</strong></div>
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<div class="field_date_and_time"><time datetime="2018-04-09T19:30:00Z">Mon, 04/09/2018 - 3:30pm</time></div>
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<div class="field_location">Miller Learning Center</div>
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<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
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<div class="body"><div class="tex2jax_process"><h3><strong>Speaker: </strong>Kannan Soundararajan (Stanford)</h3>
<p><strong>Monday, April 9, 2018</strong><br />
3:30pm-4:30pm<br />
Miller Learning Center, Room 101</p>
<p><strong>Title of talk: </strong><em>Primes fall for the gambler's fallacy. </em></p>
<p><strong>Abstract: </strong> The gambler’s fallacy is the erroneous belief that if (for example) a coin comes up heads often, then in the next toss it is more likely to be tails. In recent work with Robert Lemke Oliver, we found that funnily the primes exhibit a kind of gambler’s fallacy: for example, consecutive primes do not like to have the same last digit. I’ll show some of the data on this, and explain what we think is going on.</p>
<p><strong>Tuesday, April 10, 2018</strong><br />
3:30pm-4:30pm<br />
Miller Learning Center, Room 150</p>
<p><strong>Title of talk: </strong><em>Recent progress in multiplicative number theory. </em></p>
<p><strong>Abstract: </strong> A function is called multiplicative if f(mn)=f(m)f(n) for all coprime natural numbers m and n. Many important functions in number theory are multiplicative, and the study of general multiplicative functions has been very active in recent years. I will discuss some work in this area, including some of my work with Andrew Granville, and the spectacular progress of Matomaki and Radziwill culminating in Tao's resolution of the Erdos discrepancy problem. </p>
<p><strong>Wednesday, April 11, 2018</strong><br />
3:30pm-4:30pm<br />
Boyd Graduate Studies Bldg., Room 328</p>
<p><strong>Title of talk: </strong><em>Moments and distribution of the Riemann zeta-function and L-functions. </em></p>
<p><strong>Abstract: </strong>One of the great unsolved problems in mathematics is the Riemann hypothesis. In this talk I will explain how zeta and L-functions arise naturally in many problems in number theory, and how the Riemann hypothesis shapes our understanding of such problems. I will also discuss recent work aimed at understanding the distribution of values of such L-functions. </p>
<p><em><strong>Refreshments will be served preceeding each talk.</strong></em></p>
<p><em><strong>A banquet honoring Dr. Kannan Soundararajan will be held Tuesday, April 10, 2018 at The National. If you plan to attend, please pre-register as seating is limited. <br /><a data-entity-type="file" data-entity-uuid="e21708a0-5f61-4f23-a2eb-88e2fab07106" href="http://www.math.uga.edu/sites/default/files/inline-files/Banquet_Registration2018_0.pdf">Cantrell Lecture Banquet Registration</a></strong></em></p>
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Tue, 05 Dec 2017 21:09:54 +0000juleigh2454 at http://www.math.uga.edu23rd Cantrell Lecture Series
http://www.math.uga.edu/events/content/2016/23rd-cantrell-lecture-series
<span>23rd Cantrell Lecture Series</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/220px-Peter_Ozsva%CC%81th.jpg?itok=076L1S03 1x" media="all and (min-width: 90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/220px-Peter_Ozsva%CC%81th.jpg?itok=076L1S03 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/220px-Peter_Ozsva%CC%81th.jpg?itok=iG5nwU4R 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/220px-Peter_Ozsva%CC%81th.jpg?itok=N8arobbI 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/220px-Peter_Ozsva%CC%81th.jpg?itok=076L1S03 1x" media="(min-width: 0em)" type="image/jpeg"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/220px-Peter_Ozsva%CC%81th.jpg?itok=Lav1ibKd" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Fri, 12/09/2016 - 2:54pm</span>
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<div class="field_date_and_time"><time datetime="2017-02-20T20:30:00Z">Mon, 02/20/2017 - 3:30pm</time></div>
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<div class="field_location">Miller Learning Center, Room 101</div>
<div class="field">
<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
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<div class="body"><div class="tex2jax_process"><h3><strong>Speaker: </strong>Peter Ozsváth, Princeton University<br />
</h3>
<p><strong>Monday, February 20, 2017</strong><br />
3:30pm, Miller Learning Center, Room 101</p>
<p><strong><em>Title of talk: </em></strong><em>An introduction to Heegaard Floer homology</em></p>
<p>"Knot theory" is the study of closed, embedded curves in <span>three-dimensional space. Classically, knots can be studied via a </span><span>various computable polynomial invariants, such as the Alexander </span><span>polynomial. In this first talk, I will recall the basics of knot </span><span>theory and the Alexander polynomial, and then move on to a more modern </span><span>knot invariant, "knot Floer homology", a knot invariant with more </span><span>algebraic structure associated to a knot. I will describe applications </span><span>of knot Floer homology to traditional questions in knot theory, and </span><span>sketch its definition. This knot invariant was originally defined in </span><span>2003 in joint work with Zoltan Szabo, and independently by Jake </span><span>Rasmussen. A combinatorial formulation was given in joint work with </span><span>Ciprian Manolescu and Sucharit Sarkar in 2006.</span></p>
<p><strong>Tuesday, February 21, 2017</strong><br />
3:30pm, Room 328 Boyd Graduate Studies Bldg.</p>
<p><strong><em>Title of talk: </em></strong><em>Bordered techniques in Heegaard Floer homology.</em></p>
<p>Heegaard Floer homology is a closed three-manifold invariant, defined <span>in joint work with Zoltan Szabo, using methods from symplectic </span><span>geometry (specifically, the theory of pseudo-holomorphic disks). The </span><span>inspiration for this invariant comes from gauge theory. In joint work </span><span>with Robert Lipshitz and Dylan Thurston from 2008, the theory was </span><span>extended to an invariant for three-manifolds with boundary, </span><span>"bordered </span><span>Floer homology". I will describe Heegaard Floer homology, motivate </span><span>its construction, list some of its key properties and applications, </span><span>and then sketch the algebraic input for the bordered version.</span></p>
<p><strong>Wednesday, February 22, 2017</strong><br />
3:30pm, Room 328, Boyd Graduate Studies Bldg.</p>
<p><em><strong>Title of talk: </strong>Bordered knot invariants</em></p>
<p>I will describe a bordered construction of knot Floer homology, <span>defined as a computable, combinatorial knot invariant. Generators </span><span>correspond to Kauffman states, and the differentials have an algebraic i</span><span>nterpretation in terms of a certain derived tensor product. I will </span><span>also explain how methods from bordered Floer homology prove that this </span><span>invariant indeed computes the holomorphically defined knot Floer </span><span>homology. This is joint work with Zoltan Szabo.</span></p>
<p><em><strong><span>Refreshments will be served preceeding each lecture.</span></strong></em></p>
<p><em><strong><span>A banquet honoring Dr.Peter Ozsváth will be held on the evening of Monday, Feb. 20, 2017 at The National. Please download and print the baquet registration form <a href="http://www.math.uga.edu/sites/default/files/Banquet_Registration2017_0.pdf">here.</a> Space is limited so please return your registration to Gail Suggs no later than Friday, Feb. 17, 2017.</span></strong></em></p>
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Fri, 09 Dec 2016 19:54:44 +0000juleigh2205 at http://www.math.uga.edu1st Annual Cantrell Lecture Series
http://www.math.uga.edu/events/content/2015/1st-annual-cantrell-lecture-series
<span>1st Annual Cantrell Lecture Series</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/DiaconisPhoto.jpg?itok=ku95Lbig 1x" media="all and (min-width: 90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/DiaconisPhoto.jpg?itok=ku95Lbig 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/DiaconisPhoto.jpg?itok=zniWVjU1 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/DiaconisPhoto.jpg?itok=zalbvDJx 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/DiaconisPhoto.jpg?itok=ku95Lbig 1x" media="(min-width: 0em)" type="image/jpeg"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/DiaconisPhoto.jpg?itok=2Ik8DaLT" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Thu, 10/01/2015 - 4:19pm</span>
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<div class="field_date_and_time"><time datetime="1994-10-02T04:00:00Z">Sun, 10/02/1994 - 12:00am</time></div>
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<div class="field_location">Boyd Graduate Studies, Room 328</div>
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<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
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<div class="body"><div class="tex2jax_process"><h3> </h3>
<h4><strong>Professor Persi Diaconis, Harvard University</strong></h4>
<p>Dr. Diaconis's first lecture, for a general audience, is co-sponsored by the Humanities Center, under its Humanities Science Interface Initiative. In this talk, Dr. Diaconis will discuss how coincidences can astound us, affecting where we live and what we do. In addition to reviewing relevant work of Freud and Jung, he will show how, sometimes, a bit of quantitative thinking can show that coincidences are not so surprising after all. </p>
<p>Dr. Diaconis's second lecture, for undergraduates in the mathematical sciences and mathematics education, will discuss amazing magic tricks which depend secretly on real mathematical constructions. </p>
<p>Dr. Diaconis's third lecture is a mathematical colloquium. Typical large orthogonal matrices show remarkable structure in their eigenvalues. This same structure appears in particle scattering, zeros of the Riemann zeta function, and telephone encryption problems. It will be shown how symmetric function theory can be used to unravel the pattern.</p>
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Thu, 01 Oct 2015 20:19:00 +0000juleigh1932 at http://www.math.uga.edu2nd Annual Cantrell Lecture Series
http://www.math.uga.edu/events/content/2015/2nd-annual-cantrell-lecture-series
<span>2nd Annual Cantrell Lecture Series</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/RibetPhoto.gif?itok=utAeNOeR 1x" media="all and (min-width: 90em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/RibetPhoto.gif?itok=utAeNOeR 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/RibetPhoto.gif?itok=NRSjJnAI 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/RibetPhoto.gif?itok=u2UWj-Li 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/RibetPhoto.gif?itok=utAeNOeR 1x" media="(min-width: 0em)" type="image/gif"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/RibetPhoto.gif?itok=6d_ffM05" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Thu, 10/01/2015 - 4:16pm</span>
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<div class="field-above"><strong>Date and time:</strong></div>
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<div class="field_date_and_time"><time datetime="1995-11-08T21:30:00Z">Wed, 11/08/1995 - 4:30pm</time></div>
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<div class="field_location">Physics, Room 202</div>
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<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
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<div class="body"><div class="tex2jax_process"><h4><strong>Professor Kenneth A. Ribet, University of California at Berkeley</strong></h4>
<p><strong>Wednesday, November 8, 1995, 4:30 p.m.</strong><br />
Physics Building, Room 202</p>
<p><em>"Fermat's Last Theorem"</em></p>
<p>In the seventeenth century, Pierre de Fermat, a judge in Toulouse, wrote in the margin of a book that he had found a "marvelous proof" of a deceptively simple mathematical assertion. While there are many solutions in positive integers to the equation a2 + b2 = c2, Fermat claimed that there are no non-zero integers a, b and c satisfying a3 + b3 = c3 or a4 + b4 = c4. Moreover, Fermat said that no perfect nth power (with n bigger than 2) could be decomposed as a sum of two smaller nth powers. Unfortunately, Fermat wrote that the margin in which he was writing was too small to contain the proof.</p>
<p>For 350 years, researchers expended enormous effort trying to recover Fermat 's, or any other, "truly marvelous proof" of what came to be known as Fermat's "Last" Theorem. (It was the last assertion of Fermat to be proved.) In 1985, the German mathematician G. Frey pointed out a simple link between Fermat's equation and elliptic curves which suggested new lines of attack on Fermat's assertion. Two years ago, the Princeton mathematician Andrew Wiles announced that he had completed a proof of Fermat's Last Theorem which was based on Frey's construction.</p>
<p>In my lecture, I will explain the broad lines of the proof. In particular, I will describe how Fermat's Last Theorem became linked to the extraordinary Shimura-Taniyama conjecture, a statement about elliptic curves which became part of the mathematical landscape in the 1960s and '70s. After I proved that this conjecture implies Fermat's Last Theorem, Wiles set himself the task of proving the Shimura-Taniyama conjecture, despite the received wisdom that it could not be proved by currently available techniques. However, in an astounding breakthrough, the Shimura-Taniyama conjecture was recently proved (for a large class of elliptic curves) following ideas proposed by Andrew Wiles in 1993 (and then corrected and shortened in joint work of Richard Taylor and Wiles). As a consequence, Fermat's Last Theorem is now known to be true.</p>
<p><strong>Thursday, November 9, 1995, 4:30 p.m.</strong><br />
Boyd Graduate Studies Research Center, Room 328</p>
<p><em>"Perfect powers in arithmetic progression"</em></p>
<p>The numbers 49, 169 and 289 represent three perfect squares in arithmetic progression. According to Fermat and Euler, there is no non-trivial four-term arithmetic progression consisting of perfect squares. Legendre proved that there is no three-term arithrnetic progression consisting of distinct positive cubes; Euler proved an analogous result for perfect fourth powers. What about higher powers? For perfect pth powers, the methods used to prove Fermat's Last Theorem show that three distinct pth powers cannot be in arithmetic progression if p is congruent to 1 mod 4. For p º 3 mod 4, we run up against open questions involving elliptic curves and modular curves.</p>
<p><strong>Friday, November 10, 1995 4:00 p.m.</strong><br />
Boyd Graduate Studies Research Center, Room 328</p>
<p><em>"Component groups and degrees of modular parametrizations"</em></p>
<p>I shall report on a conjectural formula of Bertolini-Darmon and its proof in certain cases. Specifically, suppose that E is an elliptic curve over Q whose conductor is the product of two distinct primes. Assume further that E is the unique curve in its isogeny class. (Curves satisfying these conditions may be found in tables - the first example is the curve denoted 57E in the tables of Antwerp IV.) Then E is a quotient of two modular curves: the standard modular curve XO(pq) and the Shimura curve defined by the quaternion division algebra of discriminant pq. A formula compares the minimal degree of maps XO(pq) ® E and the minimal degree of maps X ® E.</p>
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Thu, 01 Oct 2015 20:16:24 +0000juleigh1931 at http://www.math.uga.edu3rd Annual Cantrell Lecture Series
http://www.math.uga.edu/events/content/2015/3rd-annual-cantrell-lecture-series
<span>3rd Annual Cantrell Lecture Series</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/MarsdenPhoto.gif?itok=VTWXD3Ly 1x" media="all and (min-width: 90em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/MarsdenPhoto.gif?itok=VTWXD3Ly 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/MarsdenPhoto.gif?itok=qKpVcqfy 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/MarsdenPhoto.gif?itok=Z0FNdXcy 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/gif"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/MarsdenPhoto.gif?itok=VTWXD3Ly 1x" media="(min-width: 0em)" type="image/gif"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/MarsdenPhoto.gif?itok=fUlv7ot6" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Thu, 10/01/2015 - 4:12pm</span>
<div class="field">
<div class="field-above"><strong>Date and time:</strong></div>
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<div class="field_date_and_time"><time datetime="1996-10-23T20:00:00Z">Wed, 10/23/1996 - 4:00pm</time></div>
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<div class="field_location">Forest Resources, Room 100</div>
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<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
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<div class="body"><div class="tex2jax_process"><h4><strong><span>Professor Jerrold Marsden, California Institue of Technology</span></strong></h4>
<p><strong>Wednesday, October 23, 1996, 4:00 p.m.</strong><br />
Forest Resources, Room 100<br /><em>"Introduction to Mechanics and Dynamics"</em></p>
<p>Dr. Marsden's first lecture, accessible to a general audience, will introduce the role of geometry and symmetry in the mechanics and dynamics of familiar systems. A falling cat is able to right itself through the geometric generation of rotations, while other systems, such as the robotic snake and the snakeboard, generate locomotion. Geometry and symmetry lead to a better understanding of practical engineering problems, such as the control and stability of underwater vehicles. Dr. Marsden will illustrate the basic examples and concepts with concrete systems and videos, as well as trace the mathematical development of geometric mechanics through the works of Euler, Lagrange, Hamilton, Routh, Riemann, Lie, and Poincare.</p>
<p><strong>Thursday, October 24, 1996, 4:00 p.m.</strong><br />
Boyd Graduate Studies Research Center, Room 328<br /><em>"Stability of Relative Equilibria"</em></p>
<p>In this lecture, pitched at the level of a colloquium talk, Dr. Marsden develops the setting of geometric mechanics and gives a survey of some of the progress made in the stability theory of steady motions of mechanical systems, a time honored subject going back to Routh in the last century.</p>
<p><strong>Friday, October 25,1996 4:00 p.m.</strong><br />
Boyd Graduate Studies Research Center, Room 328<br />
"Stabilization of Balance Systems"</p>
<p>In this talk, a little more specialized in nature, Dr. Marsden presents some recent work with Anthony Bloch, Gloria Sanchez and Naomi Leonard on the stabilization of mechanical systems with symmetry such as a rigid body with an internal rotor, the inverted pendulum on a cart, and underwater vehicles. Starting from a given Lagrangian with a relative equilibrium that is unstable, he introduces a modified Lagrangian whose Euler-Lagrange equations differ from the given ones by terms that can be identified with control forces. Equilibria of the modified Lagrangian can be analyzed using the energy-momentum method or other techniques from mechanics and dynamical systems. One such modification is a Kaluza-Klein construction, whereby the kinetic energy is modified and a second modification is the introduction of symmetry breaking potentials. He will also indicate how these techniques can be used for tracking problems, such as how to make the underwater vehicle follow a desired trajectory, including both rotational and translational motion.</p>
<p> </p>
<p> </p>
<p> </p>
</div></div>
Thu, 01 Oct 2015 20:12:27 +0000juleigh1930 at http://www.math.uga.edu4th Annual Cantrell Lecture Series
http://www.math.uga.edu/events/content/2015/4th-annual-cantrell-lecture-series
<span>4th Annual Cantrell Lecture Series</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/MilnorPhoto.jpg?itok=wkvxwxia 1x" media="all and (min-width: 90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/MilnorPhoto.jpg?itok=wkvxwxia 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/MilnorPhoto.jpg?itok=RleZJUyU 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/MilnorPhoto.jpg?itok=MlEDMWrA 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/MilnorPhoto.jpg?itok=wkvxwxia 1x" media="(min-width: 0em)" type="image/jpeg"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/MilnorPhoto.jpg?itok=vZkISx-G" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Thu, 10/01/2015 - 4:04pm</span>
<div class="field">
<div class="field-above"><strong>Date and time:</strong></div>
<div class="field_multiple">
<div class="field_date_and_time"><time datetime="1997-10-08T20:00:00Z">Wed, 10/08/1997 - 4:00pm</time></div>
</div>
</div>
<div class="field_location">Physics, Room 202</div>
<div class="field">
<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
</div>
<div class="body"><div class="tex2jax_process"><h4><strong>Professor John W. Milnor SUNY, Stony Brook</strong></h4>
<p><strong>Wednesday, October 8, 1997, 4:00 p.m. Physics Building, Room 202</strong></p>
<p><em>"Pasting Together Julia Sets"</em></p>
<p>This lecture will describe how one can paste together two rather skinny fractal sets, with no interior, to obtain a full 2-dimensional sphere. If f is a polynomial map from the complex numbers to themselves. then the "filled Julia set" K60 is the set of complex numbers z such that the sequence z, f(z), f ((fz)), . .. is bounded. This is usually a complicated fractal set. Yet the operation of "mating", which pastes together two such filled Julia sets to yield a smooth Riemann sphere, is often defined. The lecture will study one particularly non-intuitive example of this construction.</p>
<p><strong>Thursday, October 9, 1997, 4:00 p.m. Boyd Graduate Studies Research Center, Room 328</strong></p>
<p><em>"Understanding the Mandelbrot Set"</em></p>
<p>The Mandelbrot set M can be thought of as the table of contents for a (very large) book which describes all possible kinds of dynamic behavior for quadratic polynomial maps. The various complicated geometric structures seen in M correspond to different types of behavior. This lecture will explain some of this structure by studying periodic orbits for quadratic maps.</p>
<p><strong>Friday, October 10, 1997 4:00 p.m. Boyd Graduate Studies Research Center, Room 328</strong></p>
<p><em>"Rational Maps"</em></p>
<p>Exploration of the larger world of rational maps from the Riemann sphere to itself.</p>
</div></div>
Thu, 01 Oct 2015 20:04:26 +0000juleigh1929 at http://www.math.uga.edu5th Annual Cantrell Lecture Series
http://www.math.uga.edu/events/content/2015/5th-annual-cantrell-lecture-series
<span>5th Annual Cantrell Lecture Series</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/PisierPhoto.jpg?itok=6K0Jb0Ik 1x" media="all and (min-width: 90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/PisierPhoto.jpg?itok=6K0Jb0Ik 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/PisierPhoto.jpg?itok=auNDUYvr 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/PisierPhoto.jpg?itok=sBphTurm 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/PisierPhoto.jpg?itok=6K0Jb0Ik 1x" media="(min-width: 0em)" type="image/jpeg"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/PisierPhoto.jpg?itok=t8YRAvxE" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Thu, 10/01/2015 - 4:01pm</span>
<div class="field">
<div class="field-above"><strong>Date and time:</strong></div>
<div class="field_multiple">
<div class="field_date_and_time"><time datetime="1998-12-02T21:30:00Z">Wed, 12/02/1998 - 4:30pm</time></div>
</div>
</div>
<div class="field_location">Physics, Room 202</div>
<div class="field">
<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
</div>
<div class="body"><div class="tex2jax_process"><h4><strong>Professor Gilles I. Pisier, University of Paris VI<br />
and Texas A & M University</strong></h4>
<p><strong>Wednesday, December 2, 1998, 4:30 p.m. Physics Building, Room 202 </strong></p>
<p><em>"The Halmos problem"</em></p>
<p><strong>Thursday, December 3, 1998, 4:00 p.m. Boyd Graduate Studies Research Center, Room 328</strong></p>
<p><em>"Similarity problems and lengths of operator algebras"</em></p>
<p><strong>Friday, December 4, 1998, 4:30 p.m. Boyd Graduate Studies Research Center, Room 328 </strong></p>
<p><em>"Operator spaces and applications"</em></p>
<p> </p>
</div></div>
Thu, 01 Oct 2015 20:01:54 +0000juleigh1928 at http://www.math.uga.edu6th Annual Cantrell Lectures
http://www.math.uga.edu/events/content/2015/6th-annual-cantrell-lectures
<span>6th Annual Cantrell Lectures</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/AtiyahPhoto.jpg?itok=o7Om-5JV 1x" media="all and (min-width: 90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/AtiyahPhoto.jpg?itok=o7Om-5JV 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/AtiyahPhoto.jpg?itok=2PG6qWUC 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/AtiyahPhoto.jpg?itok=CfAHJn_n 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/AtiyahPhoto.jpg?itok=o7Om-5JV 1x" media="(min-width: 0em)" type="image/jpeg"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/AtiyahPhoto.jpg?itok=kguY0zpW" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Thu, 10/01/2015 - 3:57pm</span>
<div class="field">
<div class="field-above"><strong>Date and time:</strong></div>
<div class="field_multiple">
<div class="field_date_and_time"><time datetime="2000-04-05T20:00:00Z">Wed, 04/05/2000 - 4:00pm</time></div>
</div>
</div>
<div class="field_location">Physics, Room 202</div>
<div class="field">
<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
</div>
<div class="body"><div class="tex2jax_process"><h4><strong>Sir Michael Atiyah University of Edinburgh</strong></h4>
<p><strong>Wednesday, April 5, 2000, 4:00 p.m. Physics Building, Room 202</strong></p>
<p><em>"Physics, Geometry and Space"</em></p>
<p>In the past 25 years there have been remarkable and quite unexpected developments in geometry originating in quantum theory. Professor Atiyah will outline the fascinating story which still continues, and involves the latest ideas in fundamental physics. This lecture is aimed at a general audience interested in science.</p>
<p><em>Professor Atiyah will be introduced by the UGA President Michael Adams. Banquet honoring Michael Atiyah: 6:30 p.m. at Trumps in downtown Athens. </em></p>
<p><strong>Thursday, April 6, 2000, 4:00 p.m. Boyd Graduate Studies Research Center, Room 328</strong></p>
<p><em>"Solitons and Symmetry"</em></p>
<p>The notion of a soliton is one of the most striking and unifying ideas of recent times - part way between a particle and a field configuration. In 3-dimensional space one may in particular look for symmetrical multi-solitons, having for instance the symmetries of a Platonic solid. These exist, but not in the way one would expect, and this will be illustrated with pictures. This lecture will be accessible to undergraduates in the mathematical sciences, mathematics education and physics.</p>
<p><strong>Friday, April 7, 2000, 4:00 p.m. Boyd Graduate Studies Research Center, Room 328</strong></p>
<p><em>"An elementary problem in Geometry"</em></p>
<p>Professor Atiyah will discuss an elementary problem which associates to any n distinct points of 3-dimensional space n complex polynomials in one variable of degree n-1 . The problem is to show that these polynomials are always linearly independent. This has unexpected links with physics and it also has interesting generalizations. This lecture as well will be accessible to math and physics majors. </p>
</div></div>
Thu, 01 Oct 2015 19:57:40 +0000juleigh1927 at http://www.math.uga.edu7th Annual Cantrell Lectures
http://www.math.uga.edu/events/content/2015/7th-annual-cantrell-lectures
<span>7th Annual Cantrell Lectures</span>
<div class="field_speaker_photo"> <picture><!--[if IE 9]><video style="display: none;"><![endif]--><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/UhlenbeckPhoto.jpg?itok=5v_y0p7U 1x" media="all and (min-width: 90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/UhlenbeckPhoto.jpg?itok=5v_y0p7U 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_720x720/public/UhlenbeckPhoto.jpg?itok=ihxyL1xR 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_650x650/public/UhlenbeckPhoto.jpg?itok=7MJseBaT 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg"></source><source srcset="http://www.math.uga.edu/sites/default/files/styles/max_480x480/public/UhlenbeckPhoto.jpg?itok=5v_y0p7U 1x" media="(min-width: 0em)" type="image/jpeg"></source><!--[if IE 9]></video><![endif]--><img src="http://www.math.uga.edu/sites/default/files/styles/max_325x325/public/UhlenbeckPhoto.jpg?itok=_heMpVYG" alt="" typeof="foaf:Image" /></picture></div>
<span><span lang="" about="http://www.math.uga.edu/users/juleigh" typeof="schema:Person" property="schema:name" datatype="" xml:lang="">juleigh</span></span>
<span>Thu, 09/24/2015 - 4:43pm</span>
<div class="field">
<div class="field-above"><strong>Date and time:</strong></div>
<div class="field_multiple">
<div class="field_date_and_time"><time datetime="2001-04-10T20:00:00Z">Tue, 04/10/2001 - 4:00pm</time></div>
</div>
</div>
<div class="field_location">Physics, Room 202</div>
<div class="field">
<div class="field_type_of_event"><a href="http://www.math.uga.edu/building/cantrell-lectures" hreflang="en">Cantrell Lectures</a></div>
</div>
<div class="body"><div class="tex2jax_process"><h4><strong>Professor Karen K. Uhlenbeck<br />
Sid W. Richardson Regents Professor of Mathematics<br /><span>University of Texas, Austin</span></strong></h4>
<p>Physics, Room 202</p>
<p>Professor Karen Uhlenbeck made pioneering contributions to global geometry and gauge theory that resulted in advances in mathematical physics and the theory of partial differential equations. She has received numerous awards and honors for her mathematical work, including election to the National Academy of Sciences and the American Academy of Arts and Sciences. She received the MacArthur Prize in 1983, and was chosen as a plenary speaker at the International Congress of Mathematicians in Kyoto in 1990. In December 2000, she was awarded the National Medal of Science, the nation's highest scientific honor. </p>
<p><strong>Geometry Across Three Centuries</strong></p>
<p>April 10-12, 2001</p>
<p>Any student who has taken calculus knows, although perhaps is not impressed by, two important facts about mathematics. First of all, many of the important ideas in mathematics are very old. For example, calculus was developed by Newton, Leibnitz and Descartes a long, long time ago. Secondly, while it is important that mathematics is a necessary tool with applications in many disciplines, conversely, the ideas of mathematics itself have many sources. Sciences create mathematics by translating physical ideas into mathematical questions and equations. What is not so evident is that many of the old ideas are still connected with core research mathematics. Moreover, the process of developing new mathematics from other sciences is still taking place today. We illustrate this process with three centuries of examples of geometric equations. </p>
<p><strong>Tuesday, April 10, 2001, 4:00 p.m. Physics Building, Room 202</strong></p>
<p><em>"A selection of equations from nineteenth century geometry'"</em></p>
<p>We will look at a selection of equations like the Kortweg-de Vries Equation, the minimal surface equation and the Sine Gordon equation. Try to imagine how the nineteenth century mathematicians thought about them. How do they appear in modern mathematics </p>
<p><strong>Wednesday, April 11, 2001, 4:00 p.m. Boyd Graduate Studies Research Center, Room 328</strong></p>
<p><em>"Minimal surfaces and their uses"</em></p>
<p>There are many important sources of geometry in the twentieth century, such as Einstein's theory of relativity, minimization problems and high energy physics. We will emphasize some of the applications of minimal surfaces and the different mathematical objects related to them.</p>
<p><strong>Thursday, April 12, 2001, 4:00 p.m. Boyd Graduate Studies Research Center, Room 328</strong></p>
<p><em>"A glimpse into the future'"</em></p>
<p>In the twenty-first century, the impact of physics is still important and we will talk about the new concept of special Lagrangian three-folds which is in its infancy. However, most geometers believe that in the twenty-first century ideas from biology will become increasingly important. There are some pretty crazy minimization problems which come from trying to understand how DNA is cut and packed which are well worth musing on. </p>
<p> </p>
<p> </p>
<p> </p>
<p>
<br />
</p>
<p> </p>
</div></div>
Thu, 24 Sep 2015 20:43:04 +0000juleigh1926 at http://www.math.uga.edu