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Small representations I

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NC2W01 - Making the bridge: Exploring new connections between number theory and physics

Let G be a simple group over a non-archimedean local field. Although all non-trivial, irreducible, smooth, representations are countably dimensional, there are several ways of measuring their “size”.  I will review these definitions, and then concentrate on small representations, in particular, the problem of their existence and construction. The minimal repesentation, that is, the smallest non-trivial representation is of particular interest. It is a generalization of the Weil (or oscillator) representation of the metaplectic group, and gives rise to several interesting theta correspondences problems.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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