Mathematics Dept.
  Events
University of Hong Kong
Mon 20 Aug 2018, 4:00pm SPECIAL
Algebraic Geometry Seminar
MATH 126
Noncommutative Mather-Yau theorem and its applications
MATH 126
Mon 20 Aug 2018, 4:00pm-5:00pm

Abstract

We prove that the right equivalence class of a super potential in complete free algebra is determined by its Jacobi algebra and the canonical class in its 0-th Hochschild homology represented by the super potential, assuming the Jacobi algebra is finite dimensional. This is a noncommutative version of the famous Mather-Yau theorem in isolated hyper surface singularities. As a consequence, we prove a rigidity theorem for Ginzburg dg-algebra. I will discuss some applications of these results in three dimensional birational geometry. This is a joint work with Guisong Zhou (1803.06128). 

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Elana Kalashnikov
Imperial College London
Mon 10 Sep 2018, 4:00pm
Algebraic Geometry Seminar
TBA
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TBA
Mon 10 Sep 2018, 4:00pm-5:00pm

Abstract

 TBA
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UCLA
Thu 13 Sep 2018, 4:00pm SPECIAL
Algebraic Geometry Seminar
TBA
Hodge theory of classifying stacks
TBA
Thu 13 Sep 2018, 4:00pm-5:00pm

Abstract

The goal of this talk is to create a correspondence between the representation theory of algebraic groups and the topology of Lie groups. The idea is to study the Hodge theory of the classifying stack of a reductive group over a field of characteristic p, the case of characteristic 0 having been studied by Behrend, Bott, Simpson and Teleman. The approach yields new calculations in representation theory, motivated by topology. 
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University of Massachusets
Mon 24 Sep 2018, 4:00pm
Algebraic Geometry Seminar
TBA
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TBA
Mon 24 Sep 2018, 4:00pm-5:00pm

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 TBA
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Oregon
Mon 15 Oct 2018, 4:00pm
Algebraic Geometry Seminar
TBA
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TBA
Mon 15 Oct 2018, 4:00pm-5:00pm

Abstract

 TBA
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