**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.