Tags: Conferences

The Department of Mathematics is hosting an Industrial Mathematics day on Saturday, April 27, 2024. The event will have guest speakers and opportunities for networking.  Event organizers are Dr. Hulya Arguz, Dr. Pierrick Bousseau, and Dr. Jennifer Royal.   Confirmed Speakers:  Amanda Cameron (UGA Math B.S. 2017), AI/ML Customer Engineer Specialist at Google Jay Lanterman (UGA Math Ph.D. 2018), Director, Analytics at IHG Hotels…

The Georgia Algebraic Geometry Symposium is a conference series, jointly organized by the University of Georgia, Emory University and Georgia Tech.  Invited speakers: Harold Blum (University of Utah) Kristin DeVleming (University of Massachusetts Amherst) Yunfeng Jiang (University of Kansas) Radu Laza (Stony Brook University) Rita Pardini (University of Pisa) Junliang Shen (Yale University) On Friday April 28 there will be introductory…

May 17- 20, 2023 University of Georgia                                                  Athens, Georgia                       …

Title: TBA Abstract: TBA

  Title: Taut sutured handlebodies as twisted homology products   Abtract: We explore a method for certifying that a sutured manifold is taut, by showing that it is homologically simple - a so-called rational homology product. Most sutured manifolds do not have this form, but do always take the more general form of a twisted homology product, which incorporates a representation of the fundamental group. The question then becomes, how…

  Title: Taut Foliations, Positive 3-Braids, and the L-Space Conjecture Abstract: The L-Space Conjecture is taking the low-dimensional topology community by storm. It aims to relate seemingly distinct Floer homological, algebraic, and geometric properties of a closed 3-manifold Y. In particular, it predicts a 3-manifold Y isn’t ”simple” from the perspective of Heegaard-Floer homology if and only if Y admits a taut foliation. The reverse…

  Title: Taut foliations of compact 3-manifolds with constrained boundary slopes Abstract: A codimension one foliation of a 3-manifold is called taut if there exists a simple closed curve in the manifold that intersects each leaf of the foliation transversally. A surface bundle over a circle is a simple example of a 3-manifold with a taut foliation. Every compact 3-manifold can be obtained from such a surface bundle by Dehn filling the…

  Title: Persistently foliar knots Abstract: A manifold with Heegard-Floer homology of minimal rank is called an L-space, since this is the case for lens spaces and other elliptic manifolds. A taut co-orientable foliation is associated with non-trivial elements of Heegard-Floer homology (by combined results of Eliashberg-Thurston, Ozsv´ath-Szab´o, Kazez-Roberts); hence, if a 3- manifold admits a taut, co-oriented foliation, it is not an L-…

  Title: Surface complexes of Seifert fibered spaces Abstract: Curve complexes of surfaces provide information about surfaces and 3-manifolds in a variety of ways. Building on the success of curve complexes, we define surface complexes for 3-manifolds. The surface complex naturally decomposes into subcomplexes called Kakimizu complexes. For Seifert fibered spaces the relation between the surface complex and its subcomplexes can be described…

Title: Genus 2 Heegaard splittings and Dehn surgery on tunnel number one knots Abstract: We generalize a theorem of Homma, Ochiai, and Takahashi, and discuss its relation with the Berge conjecture.