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The Springer correspondence and modular representation theory

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Geordie Williamson (MPIM Bonn)

What
  • SFB-Kolloquium
When Jun 21, 2012
from 03:15 pm to 04:15 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract:  In recent work on the topology of proper complex algebraic maps de Cataldo and Migliorini have highlighted the role of intersection forms associated to the fibres. I will explain the Springer resolution (an exceptionally interesting proper map) and how it can be used to construct all simple representations of the symmetric group in arbitrary characteristic. The moral of the story is that behaviour of these intersection forms modulo a prime contains important representation theoretic information.