Date: sunday, 16 november '08, at 12 noon

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Speaker: Dr. Michael Schein, Bar Ilan University

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Title: Representations of GL<sub>n</sub> over finite rings and a new
approach to types for GL<sub>n</sub>

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Abstract: Let F be a local field and O its ring of integers.  The
local Langlands correspondence establishes a natural bijection between
n-dimensional Weil-Deligne representations of F and representations of
GL<sub>n</sub>(F).  One would like to know to what extent there is an
"integral" version of this, namely a relationship between
representations of the inertia group of F and those of
GL<sub>n</sub>(O).  The theory of types was developed in response to
this question.  A partial classification of representations of
GL<sub>n</sub> (O) by Aubert, Onn, Prasad, and Stasinski provides a
new approach, joint with U. Onn and A. Stasinski, to the construction
of types.