Geometric methods in modular representation theory
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Thu, 14/05/2009 14:30 |
Geordie Williamson (Oxford) |
Representation Theory Seminar  |
L3 |
| 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. | |||