SMS scnews item created by John Enyang at Tue 16 Jul 2013 1147
Type: Seminar
Distribution: World
Expiry: 26 Jul 2013
Calendar1: 26 Jul 2013 1205-1255
CalLoc1: Carslaw 373
Auth: enyang@penyang.pc (assumed)

# The modular generalized Springer correspondence

### Henderson

###### Speaker:

Anthony Henderson (University of Sydney)

###### Title:

The modular generalized Springer correspondence

###### Abstract:

Given a connected reductive algebraic group $$G$$ with Weyl group $$W$$, the Springer correspondence realizes the category of representations of $$W$$ as a quotient of the category of $$G$$-equivariant perverse sheaves on the nilpotent cone. In the original definition, the representations and sheaves were over a field of characteristic zero, but it has recently been shown that the same formalism works with modular coefficients, where the categories are no longer semisimple. In the characteristic-zero case, Lusztig defined a generalized Springer correspondence to interpret the whole category of $$G$$-equivariant perverse sheaves on the nilpotent cone in terms of representations of relative Weyl groups. We define and determine a modular generalized Springer correspondence in the case $$G=\mathrm{GL}(n)$$. This is joint work with P. Achar, D. Juteau and S. Riche.

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We will take the speaker to lunch after the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au

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