Representation Theory in Mathematics and Physics

Abstract: In this talk, we overview some central ideas and historical developments of representation theory and its relations to other areas of mathematics and physics. We'll start with a brief review of the sources and first successes of representation theory of finite and finite-dimensional groups and its applications. Then we will recall the remarkable generalizations of this theory to central extensions of loop groups and Virasoro group and consider further relations to mathematics and physics. We will describe the programs of "geometrization" and "categorification" of the previous results in representation theory developed since 90th and their successes. We conclude with potential new developments in representation theory and discuss some open problems.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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