The Character of the Weil Representation

Joaquin Teruji Thomas (U Edinburgh)

Wednesday 10th March, 2010 16:00-17:00 204

Abstract

The Weil (or metaplectic, or oscillator) representation is a projective representation of the symplectic group that is important in many different contexts. The main goal of this talk is to give an introduction to this representation, emphasising a point of view that seem to me particularly natural. The secondary goal is to present some results motivated by character lifting between symplectic and orthogonal groups.

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