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Back to Departmental Colloquium: Spring 2024

Departmental Colloquium


Date: Tuesday, Jan 16, 2024

Time: 4:00PM - 5:00PM

Location: JWB 335

Note special day


Lucas Mason-Brown

University of Oxford

Title

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.

Representation Theory

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