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Abstracts for Representation theory afternoon

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Hessenberg varieties and the Springer correspondence for symmetric spaces

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Speaker: 
Ting Xue
Affiliation: 
Northwestern U./MPIM
Date: 
Wed, 19/08/2015 - 13:45 - 14:45
Location: 
MPIM Seminar Room
Parent event: 
Representation theory afternoon

We consider Springer correspondence in the case of symmetric pairs. In this setting various new phenomena occur which are not present in the classical Springer theory, for example, representations of the braid group on the cohomology of Hessenberg varieties. This is joint work in progress with Tsao-hsien Chen and Kari Vilonen.

A Formula for the Geometric Jacquet Functor and its Character Sheaf Analogue

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Speaker: 
Alexander Yom Din
Affiliation: 
Tel Aviv U.
Date: 
Wed, 19/08/2015 - 15:00 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Representation theory afternoon

Let (G, K) be a symmetric pair over the complex numbers. We study a nearby cycles functor associated to a degeneration of the symmetric space K\G to the horospherical space MN\G. We show that on the category of admissible sheaves on K\G, this functor is isomorphic to a composition of two averaging functors. As an application, we give a geometric proof of Casselman’s submodule theorem. This is joint work with Tsao-Hsien Chen.

Web calculi in representation theory

Posted in
Speaker: 
Daniel Tubbenhauer
Affiliation: 
HCM Bonn
Date: 
Wed, 19/08/2015 - 16:30 - 17:30
Location: 
MPIM Seminar Room
Parent event: 
Representation theory afternoon

A striking question is if one can present the category Mod(g) of finite-dimensional representations of some Lie algebra g, via generators and relations – or even better: via diagrammatic generators and relations.

 

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