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Slideshow

Tags: Seminars

Link Floer homology and the stabilization distance In this talk, we describe some applications of link Floer homology to the topology of surfaces in 4-space. If K is a knot in S^3, we will consider the set of surfaces in B^4 which bound K. This space is naturally endowed with a plethora of non-Euclidean metrics and pseudo-metrics. The simplest such metric is the stabilization distance, which is the minimum k such that there is a stabilization…
Knot Concordances in S^1 x S^2 and Constructing Akbulut-Ruberman Type Exotic 4-Manifolds I will discuss knot concordances in 3-manifolds. In particular I will talk about knot concordances of knots in the free homotopy class of S^1 x {pt} in S^1 x S^2. It turns out, we can use some of these concordances to construct Akbulut-Ruberman type exotic 4-manifolds. As a consequence, at the end of the talk we will see absolutely exotic Stein pair of 4-…
Speaker: Nolan Schock
  Speaker: Galyna Livshitz, Georgia Tech Title: On the role of symmetry in isoperimetric-type inequalities Abstract: In the recent y ears, a number of conjectures has appeared, concerning the improvement of the inequalities of Brunn-Minkowski type under the additional assumptions of symmetry; this includes the B-conjecture, the Gardner-Zvavitch conjecture of 2008, the Log-Brunn-Minkowski conjecture of 2012, and some variants. The…
Speaker: Erik Schreyer   Title: Chains of Spheres and Excluded Volume Abstract: The inclusion of a notion of excluded volume of linear molecules spearheaded a breakthrough in polymer science. Extensive research to mathematically model excluded volume phenomena has been conducted in particular in the area of geometric knot theory. There the classical notion of thickness and ropelength of a knot have gained much attention. In my talk we will…
Speaker: D. Zureick-Brown, Georgia Tech Title: The canonical ring of a stacky curve   Abstract: We give a generalization to stacks of the classical (1920's) theorem of Petri -- we give a presentation for the canonical ring of a stacky curve. This is motivated by the following application: we give an explicit presentation for the ring of modular forms for a Fuchsian group with cofinite area, which depends on the signature of the group.…
Speaker: William Graham, UGA
Speaker: Jason Joseph, UGA
Speaker: Chun-Ju Lai, UGA On q-Schur algebras of type B via coordinate coalgebras   Abstract: In this talk we investigate the q-Schur algebras of type B that were constructed earlier in the study of the quantum symmetric pairs (QSP). We introduce a coordinate algebra type construction that allows us to realize these q-Schur algebras as the duals of the dth graded components of certain graded coalgebras. We generalized a Morita equivalence…

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