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Special SFB Seminar: p-adic representation theory from a categorification point of view & Cubic fourfolds and holomorphic symplectic manifolds

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Catharina Stroppel (Bonn), Manfred Lehn (Mainz)

What
  • SFB-Seminar
When Jun 09, 2016
from 02:15 pm to 06:00 pm
Where Essen, Raum WSC-N-U-3.05
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14:15-15:45
Catharina Stroppel: p-adic representation theory from a categorification point of view

Abstract: In this talk we will describe certain categories of smooth representations for GL_n(Q_p) using generalizations of Khovanov-Lauda-Rouquier (KLR)-algebras. These are algebras which can be defined algebraically, diagrammatically or geometrically. They are certain graded versions of Iwahori-Hecke algebras. Over algebraically closed fields of characteristic zero they describe categories of smooth representations of p-adic groups. Passing to positive characteristics amounts to a nice twist on the KLR side. The goal of the talk is to explain some aspects of these algebras and their relevance in algebraic and geometric representation theory.

Coffee break

16:30-18:00

Manfred Lehn: Cubic fourfolds and holomorphic symplectic manifolds

Abstract: Moduli of sheaves on K3 surfaces form a traditional source for irreducible holomorphic symplectic manifolds. Beauville and Donagi first noticed that moduli of curves on cubic fourfolds also lead to such ihs manifolds. The talks intends to explain the background of these constructions and possible interpretations in terms of derived categories.

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