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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Small representations I

## Small representations IAdd to your list(s) Download to your calendar using vCal - Gordan Savin (University of Utah)
- Thursday 04 August 2022, 13:30-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. 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. ## This talk is included in these lists:- All CMS events
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