SMS scnews item created by James East at Mon 20 Apr 2009 1017
Type: Seminar
Distribution: World
Expiry: 24 Apr 2009
Calendar1: 24 Apr 2009 1205-1255
CalLoc1: Carslaw 375
CalTitle1: Algebra Seminar: Trapa -- Functors for representations of GL(n,F)
Auth: jamese@pisa.maths.usyd.edu.au

Algebra Seminar

Functors for representations of GL(n,F)

Peter Trapa

Let F denote a local field of characteristic zero (like the real numbers or the p-adic numbers), and let GL(n,F) denote the set of n-by-n invertible matrices over F. As the field F varies, the representation theoretic part of the local Langlands correspondence predicts relationships between the Grothendieck groups of representations of the various groups GL(n,F). Most of the talk will be an introduction to these ideas. If time permits, I will introduce some functors (defined in joint work with Dan Ciubotaru for more general groups) which implement the relationships of Grothendieck groups categorically.

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After the talk, we will take the speaker to lunch, aiming to be back in time for the Joint Colloquium at 2pm.


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