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Department of Mathematics,
University of California San Diego

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Colloquium Seminar

Dr. Lucas Mason-Brown

University of Oxford

Unitary representations of semisimple Lie groups and conical symplectic singularities

Abstract:

One of the most fundamental unsolved problems in representation theory is to classify the set of irreducible unitary representations of a semisimple Lie group. In this talk, I will define a class of such representations coming from filtered quantizations of certain graded Poisson varieties. The representations I construct are expected to form the ''building blocks'' of all unitary representations.

Host: Steven Sam

November 27, 2023

4:00 PM

APM 6402
https://ucsd.zoom.us/j/92959890235

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