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)

Algebra Seminar

The modular generalized Springer correspondence


Friday 26th July, 12:05-12:55pm, Carslaw 373


Anthony Henderson (University of Sydney)


The modular generalized Springer correspondence


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.


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

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