Colloquia
https://www.math.uga.edu/
enColloquium- An Introduction to Quantized Function Spaces and Algebras
https://www.math.uga.edu/events/content/2020/colloquium-introduction-quantized-function-spaces-and-algebras
<span>Colloquium- An Introduction to Quantized Function Spaces and Algebras</span>
<span><span lang about="https://www.math.uga.edu/user/1056" typeof="schema:Person" property="schema:name" datatype>arramsey</span></span>
<span><time datetime="2020-02-25T11:04:48-05:00" title="Tuesday, February 25, 2020 - 11:04am">Tue, 02/25/2020 - 11:04am</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2020-03-05T20:30:00Z">Thu, 03/05/2020 - 3:30pm</time>
</div>
</div>
<div class="field_location">Boyd Graduate Studies Research Center #303</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p><span>Abstract: This talk is aimed at a general mathematical audience. We begin by reviewing some mathematical history around some important ideas of von Neumann, and how they fit into the stream of mathematics. We then review some general techniques for dealing with spaces and algebras of Hilbert space operators, that is, with the ‘quantum analogue’ of functions and function spaces and algebras. There will be an emphasis on the theories of operator spaces, positivity, etc. We will also mention two new theories we have been developing: 1). A generalization of the theory of operator algebras called Jordan operator algebras, joint work with Z. Wang and M. Neal. 2). A generalization of the theory of operator positivity, and its use in operator algebras, to more general algebras (eg. Banach algebras, nonselfadjoint operator algebras, etc)</span></p>
</div></div>
<div class="field_speaker_name">David Blecher</div>
<div class="field_university_or_organization">University of Houston</div>
Tue, 25 Feb 2020 16:04:48 +0000arramsey3324 at https://www.math.uga.eduColloquium- Dr. Zhengyu Zong
https://www.math.uga.edu/events/content/2019/colloquium-dr-zhengyu-zong
<span>Colloquium- Dr. Zhengyu Zong</span>
<span><span lang about="https://www.math.uga.edu/user/1056" typeof="schema:Person" property="schema:name" datatype>arramsey</span></span>
<span><time datetime="2019-12-02T11:01:10-05:00" title="Monday, December 2, 2019 - 11:01am">Mon, 12/02/2019 - 11:01am</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-12-06T20:30:00Z">Fri, 12/06/2019 - 3:30pm</time>
</div>
</div>
<div class="field_location">Boyd Room 328</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p><strong>Title:</strong> Mirror symmetry, geometry, and topological recursion<br><br>
<br><br>
<strong>Abstract:</strong> Mirror symmetry was originally discovered by physicists. It reflects the symmetry in string theory, where two different versions of string theory called type IIA and type IIB string theory give rise to the same physics. Mathematicians became interested in this relationship around 1990 when Philip Candelas,Xenia de la Ossa, Paul Green, and Linda Parks showed that it could be used as a tool to count rational curves in the quintic 3-fold. In this talk, I will first introduce the most classical mathematical formulation of mirror symmetry which is about a mirror pair of Calabi-Yau 3-folds. The A-model is given by genus 0 Gromov-Witten invariants of the Calabi-Yau 3-fold, which can be constructed by either algebraic geometry or symplectic geometry. The B-model is given by the variation of Hodge structures which is related to complex geometry. Then I will move on to the genus 0 mirror symmetry for toric manifolds/orbifolds. In this case, we consider the Landau-Ginzburg B-model which is constructed by singularity theory. Then I will talk about my work (joint with Bohan Fang and Melissa Liu) on the proof of the Remodeling Conjecture, which can be viewed as an all genus mirror symmetry for toric Calabi-Yau 3-orbifolds. It relates the higher genus open-closed Gromov-Witten potential of a toric Calabi-Yau 3-orbifold to the higher genus B-model potential which is obtained by applying the Eynard-Orantin topological recursion to the mirror curve. In this case, both algebraic geometry and symplectic geometry are used on A-model. If time permits, I will discuss some nice applications of the Remodeling Conjecture such as the holomorphic anomaly equation, modularity, and the crepant resolution conjecture.<br><br>
</p>
</div></div>
Mon, 02 Dec 2019 16:01:10 +0000arramsey3314 at https://www.math.uga.eduColloquium- Dr. Clemens Koppensteiner
https://www.math.uga.edu/events/content/2019/colloquium-dr-clemens-koppensteiner
<span>Colloquium- Dr. Clemens Koppensteiner</span>
<span><span lang about="https://www.math.uga.edu/user/1056" typeof="schema:Person" property="schema:name" datatype>arramsey</span></span>
<span><time datetime="2019-12-02T10:59:49-05:00" title="Monday, December 2, 2019 - 10:59am">Mon, 12/02/2019 - 10:59am</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-12-04T20:30:00Z">Wed, 12/04/2019 - 3:30pm</time>
</div>
</div>
<div class="field_location">Boyd Room 328</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p><strong>Title:</strong> Logarithmic Riemann-Hilbert Correspondences<br><br>
<br><br>
<strong>Abstract:</strong> The classical Riemann-Hilbert Correspondence provides a deep connection between geometry and topology. In its simplest form it stipulates an equivalence between the categories of vector bundles with a flat connection on a complex manifold and local systems on the topological space underlying the manifold. If one allows the connection to have poles, the situation becomes considerably more subtle. We discuss work of Kato-Nakayama and Ogus on this "logarithmic" setting. This in turn motivates recent joint work with Mattia Talpo on a further generalization to logarithmic D-modules. We discuss how this conjectural log Riemann-Hilbert Correspondence should look and the progress that has been achieved so far.</p>
</div></div>
Mon, 02 Dec 2019 15:59:49 +0000arramsey3313 at https://www.math.uga.eduColloquium- Dr. Ananth Shankar
https://www.math.uga.edu/events/content/2019/colloquium-dr-ananth-shankar
<span>Colloquium- Dr. Ananth Shankar</span>
<span><span lang about="https://www.math.uga.edu/user/1056" typeof="schema:Person" property="schema:name" datatype>arramsey</span></span>
<span><time datetime="2019-12-02T10:54:42-05:00" title="Monday, December 2, 2019 - 10:54am">Mon, 12/02/2019 - 10:54am</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-12-03T20:30:00Z">Tue, 12/03/2019 - 3:30pm</time>
</div>
</div>
<div class="field_location">Boyd Room 328</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p><strong><span><span>Title</span></span></strong><span><strong>:</strong> Exceptional splitting of abelian surfaces.</span><br><br>
</p>
<p><strong><span><span>Abstract</span></span></strong><span><strong>:</strong> An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse in the set of all abelian surfaces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if time permits, mention generalizations of this result to the setting of K3 surfaces, as well as applications to the dynamics of hecke orbits. This is joint work with Tang, Maulik-Tang, and Shankar-Tang-Tayou.</span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></p>
</div></div>
Mon, 02 Dec 2019 15:54:42 +0000arramsey3312 at https://www.math.uga.eduColloquium: Dr. Galyna Livshyts- On Various Questions (and answers) in High-Dimensional Probability
https://www.math.uga.edu/events/content/2019/colloquium-dr-galyna-livshyts-various-questions-and-answers-high-dimensional
<span>Colloquium: Dr. Galyna Livshyts- On Various Questions (and answers) in High-Dimensional Probability</span>
<span><span lang about="https://www.math.uga.edu/user/1056" typeof="schema:Person" property="schema:name" datatype>arramsey</span></span>
<span><time datetime="2019-11-18T10:05:57-05:00" title="Monday, November 18, 2019 - 10:05am">Mon, 11/18/2019 - 10:05am</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-11-19T20:30:00Z">Tue, 11/19/2019 - 3:30pm</time>
</div>
</div>
<div class="field_location">Boyd Room 328</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>Abstract:</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></p>
<p><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>In this talk, several topics from High-dimensional probability shall be discussed. This fascinating area is rich in beautiful problems, and several easy-to-state questions will be outlined. Further, some connections between them will be explained throughout the talk. </span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></p>
<p><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>I shall discuss several directions of my research. One direction is invertibility properties of inhomogeneous random matrices: I will present sharp estimates on the small ball behavior of the smallest singular value of a very general ensemble of random matrices, and will briefly explain the new tools I developed in order to obtain these estimates.</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></p>
<p><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>Another direction is isoperimetric-type inequalities in high-dimensional probability. Such inequalities are intimately tied with concentration properties of probability measures. Among other results, I will present a refinement of the concavity properties of the standard gaussian measure in an n-dimensional euclidean space, under certain structural assumptions, such as symmetry. This result constitutes the best known to date estimate in the direction of the conjecture of Gardner and Zvavitch from 2007.</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></p>
</div></div>
Mon, 18 Nov 2019 15:05:57 +0000arramsey3311 at https://www.math.uga.eduColloquium: Nancy Manley, Dept. of Genetics
https://www.math.uga.edu/events/content/2019/colloquium-nancy-manley-dept-genetics
<span>Colloquium: Nancy Manley, Dept. of Genetics</span>
<span><span lang about="https://www.math.uga.edu/user/235" typeof="schema:Person" property="schema:name" datatype>juleigh</span></span>
<span><time datetime="2019-10-09T10:02:09-04:00" title="Wednesday, October 9, 2019 - 10:02am">Wed, 10/09/2019 - 10:02am</time>
</span>
<div class="field_speaker_photo"> <picture>
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_480x480/public/NancyManley5x7_0.jpeg?itok=YPr1dLvz 1x" media="all and (min-width: 90em)" type="image/jpeg" width="400" height="400">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_480x480/public/NancyManley5x7_0.jpeg?itok=YPr1dLvz 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/jpeg" width="400" height="400">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_720x720/public/NancyManley5x7_0.jpeg?itok=rHe6tPs_ 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/jpeg" width="400" height="400">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_650x650/public/NancyManley5x7_0.jpeg?itok=NuAC2Fji 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/jpeg" width="400" height="400">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_480x480/public/NancyManley5x7_0.jpeg?itok=YPr1dLvz 1x" media="(min-width: 0em)" type="image/jpeg" width="400" height="400">
<img loading="eager" src="https://www.math.uga.edu/sites/default/files/styles/max_325x325/public/NancyManley5x7_0.jpeg?itok=s1oMk6Y2" width="325" height="325" alt="Nancy Manley" typeof="foaf:Image">
</picture>
</div>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-10-24T19:30:00Z">Thu, 10/24/2019 - 3:30pm</time>
</div>
</div>
<div class="field_location">Boyd Room 328</div>
<div class="field_speaker_name">Nancy Manley</div>
<div class="field_department">Department of Genetics</div>
<div class="field_university_or_organization">University of Georgia</div>
<div class="field_speaker_s_website"><a href="https://www.genetics.uga.edu/directory/nancy-manley">Nancy Manley</a></div>
Wed, 09 Oct 2019 14:02:09 +0000juleigh3307 at https://www.math.uga.eduColloquium: Monica Vazirani
https://www.math.uga.edu/events/content/2019/colloquium-monica-vazirani
<span>Colloquium: Monica Vazirani</span>
<span><span lang about="https://www.math.uga.edu/user/235" typeof="schema:Person" property="schema:name" datatype>juleigh</span></span>
<span><time datetime="2019-04-25T14:58:05-04:00" title="Thursday, April 25, 2019 - 2:58pm">Thu, 04/25/2019 - 2:58pm</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-04-25T19:30:00Z">Thu, 04/25/2019 - 3:30pm</time>
</div>
</div>
<div class="field_location">Boyd Room 328</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p> </p>
<p>Title: Combinatorics, Categorification, and Crystals<br><br>
<br><br>
Abstract: Categorification attempts to replace algebraic and geometric structures with more general categories. It has enjoyed amazing successes, such as Khovanov homology categorifying the Jones polynomial, KLR algebras categorifying quantum groups, or Soergel bimodules categorifying Hecke algebras. The payoffs to finding these richer, higher categorical structures include applications like constructing finer knot invariants, as well as proving positivity results and producing some fantastic mathematics. In this talk, I will focus on quantum groups. Their crystal bases or canonical bases exhibit the positivity and integrality that is a trademark feature of a decategorified structure. My launch point is the type A combinatorics of Young diagrams, which encode the representation theory of the symmetric group and also form a crystal--the crystal graph of the basic representation of $\mathfrak{sl}_\infty$. This is not a coincidence. The symmetric groups categorify the basic representation, with induction and restriction functors descending to raising and lowering operators. This phenomenon generalizes to all symmetrizable types, replacing the symmetric groups with cyclotomic Khovanov-Lauda-Rouquier (KLR) algebras.</p>
</div></div>
Thu, 25 Apr 2019 18:58:05 +0000juleigh3046 at https://www.math.uga.eduDirected Reading Program Final Presentation Night
https://www.math.uga.edu/events/content/2019/directed-reading-program-final-presentation-night
<span>Directed Reading Program Final Presentation Night</span>
<span><span lang about="https://www.math.uga.edu/user/239" typeof="schema:Person" property="schema:name" datatype>ackerley</span></span>
<span><time datetime="2019-04-05T15:01:45-04:00" title="Friday, April 5, 2019 - 3:01pm">Fri, 04/05/2019 - 3:01pm</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-04-26T21:00:00Z">Fri, 04/26/2019 - 5:00pm</time>
</div>
</div>
<div class="field_location">Boyd 328</div>
Fri, 05 Apr 2019 19:01:45 +0000ackerley3042 at https://www.math.uga.eduUniform Convergence - A play by Corrine Yap
https://www.math.uga.edu/events/content/2019/uniform-convergence-play-corrine-yap
<span>Uniform Convergence - A play by Corrine Yap</span>
<span><span lang about="https://www.math.uga.edu/user/235" typeof="schema:Person" property="schema:name" datatype>juleigh</span></span>
<span><time datetime="2019-03-22T10:30:23-04:00" title="Friday, March 22, 2019 - 10:30am">Fri, 03/22/2019 - 10:30am</time>
</span>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-04-12T20:30:00Z">Fri, 04/12/2019 - 4:30pm</time>
</div>
</div>
<div class="field_location">Boyd Room 328</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p>Uniform Convergence is a one-woman play, written and performed by mathematics graduate student Corrine Yap. It juxtaposes the stories of two women trying to find their place in a white male-dominated academic world. The first is of historical Russian mathematician Sofia Kovalevskaya, who was lauded as a pioneer for women in science but only after years of struggle for recognition. Her life's journey is told through music and movement, in both Russian and English. The second is of a fictional Asian-American woman, known only as "Professor", trying to cope with the prejudice she faces in the present. As she teaches an introductory real analysis class, she uses mathematical concepts to draw parallels to the race and gender conflicts she encounters in society today. <br><br>
</p>
</div></div>
Fri, 22 Mar 2019 14:30:23 +0000juleigh3032 at https://www.math.uga.eduMiller/Schneiderman Jazz+Math conversation
https://www.math.uga.edu/events/content/2019/millerschneiderman-jazzmath-conversation
<span>Miller/Schneiderman Jazz+Math conversation</span>
<span><span lang about="https://www.math.uga.edu/user/235" typeof="schema:Person" property="schema:name" datatype>juleigh</span></span>
<span><time datetime="2019-03-20T09:45:35-04:00" title="Wednesday, March 20, 2019 - 9:45am">Wed, 03/20/2019 - 9:45am</time>
</span>
<div class="field_speaker_photo"> <picture>
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_480x480/public/Math%2BMusic%20Final%20Poster%200319_0.png?itok=BLDfC7tu 1x" media="all and (min-width: 90em)" type="image/png" width="320" height="480">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_480x480/public/Math%2BMusic%20Final%20Poster%200319_0.png?itok=BLDfC7tu 1x" media="all and (min-width: 60em) and (max-width:90em)" type="image/png" width="320" height="480">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_720x720/public/Math%2BMusic%20Final%20Poster%200319_0.png?itok=AH1sOKrT 1x" media="all and (min-width: 45em) and (max-width:60em)" type="image/png" width="400" height="600">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_650x650/public/Math%2BMusic%20Final%20Poster%200319_0.png?itok=Kcr_nefI 1x" media="all and (min-width: 30em) and (max-width: 45em)" type="image/png" width="400" height="600">
<source srcset="https://www.math.uga.edu/sites/default/files/styles/max_480x480/public/Math%2BMusic%20Final%20Poster%200319_0.png?itok=BLDfC7tu 1x" media="(min-width: 0em)" type="image/png" width="320" height="480">
<img loading="eager" src="https://www.math.uga.edu/sites/default/files/styles/max_325x325/public/Math%2BMusic%20Final%20Poster%200319_0.png?itok=OZ_mycBP" width="217" height="325" alt="Flyer" typeof="foaf:Image">
</picture>
</div>
<div class="field">
<div class="field_date_and_time"><time datetime="2019-03-29T20:30:00Z">Fri, 03/29/2019 - 4:30pm</time>
</div>
</div>
<div class="field_location">Hugh Hogson School of Music</div>
<div class="body cmp-paragraph"><div class="tex2jax_process"><p>Colloquium/Conversation/Performance at the Dancz Center for New Music, Hugh Hogson School of Music</p>
<p>In live musical performance and open discussion, Marcus Miller and Rob Schneiderman demonstrate/explain analogies between the dynamics of the discovery/creation/learning of both Music and Mathematics. As a consequence of the abstract natures of Music and Mathematics these analogies can provide insight into other human disciplines. Marcus Miller graduated from Harvard University with a degree in Mathematics. After a stint working for a hedge fund, he has since been traveling the world playing music, both leading his own groups as well as performing with Jazz artists such as grammy-nominated vocalist Jazzmeia Horn and Late Show musical director pianist Jon Batiste. Marcus has performed at The Obama White House, and has studied music production and engineering under grammy-winning sound engineer “Bassy” Bob Brockman (Notorious B.I.G, Herbie Hancock, D’Angelo). Marcus has spoken at the New Jersey Association of Music Educators, and was noted as an Artist of Distinction by the State of New Jersey. He is the creator of the Math+Music Project, and is currently the host/creator of the Quadrivium series at New York's Museum of Mathematics, while he continues to study and teach mathematics. <a href="http://www.marcustheartyst.com/">http://www.marcustheartyst.com/</a></p>
<p>Rob Schneiderman joined the Lehman College CUNY Department of Mathematics faculty in 2006 after a busy career as a musician, including performances and recordings with jazz luminaries such has Eddie Harris, James Moody, Charles McPherson, JJ Johnson, Jimmy Heath, Clifford Jordan, Art Farmer and Harold Land, as well as 10 recordings as a leader for the Reservoir Music label and a more recent "Tone Twister" release on the Hollistic MusicWorks label. In 2001 Rob received a PhD in Mathematics from UC Berkeley under the guidance of topology guru Robion Kirby, and before his current professorship at Lehman, Rob had postdoc positions at the Max-Planck-Institute for Mathematics in Bonn, NYU’s Courant Institute and UPenn. His research is focussed on studying 3-dimensional and 4-dimensional spaces. In addition to many research articles in mathematics journals, Rob’s musicomathematical essay “Can One Hear the Sound of a Theorem?” was published in the Notices of the American Mathematical Society and in the collection “Best Writing on Mathematics 2012” Princeton University Press. <a href="http://comet.lehman.cuny.edu/schneiderman/">http://comet.lehman.cuny.edu/schneiderman/</a></p>
</div></div>
Wed, 20 Mar 2019 13:45:35 +0000juleigh3031 at https://www.math.uga.edu