# Some geometric methods in modular representation theory

*Algebra/Geometry/Topology Seminar*

*by Geordie Williamson*

*Institution:*Oxford

*Date: Mon 5th October 2009*

*Time: 3:30 PM*

*Location: Cuming Theatre, Chemistry*

*Abstract*: I will start by explaining how the geometry of certain complex algebraic

varieties (nilpotent cones, Schubert varieties etc.) has implications

for modular representation theory, and vice versa, via the theory of

perverse sheaves. I will give some examples and try to give a feeling

for the fascinating interplay between algebra, geometry and topology

that arises. In the second half of the talk I will discuss joint work

with Carl Mautner and Daniel Juteau in which we introduce a new class of

sheaves, which behave in some respects like tilting modules.

*For More Information:* craigw@ms.unimelb.edu.au