The University of Arizona

An introduction to modular representation theory

An introduction to modular representation theory

Series: Graduate Student Colloquium
Location: ENR 2 S395
Presenter: Daniel Rossi, Department of Mathematics, University of Arizona

For a fixed prime p Richard Brauer introduced, in the 1950's, a theory of "p-modular characters" for a finite group G. Now known as Brauer characters, these are a powerful tool linking the characteristic p representation theory of G with the representation theory in characteristic 0. Some of the deepest problems in group representation theory deal with understanding the nature of this connection. I this talk I will define Brauer characters, describe some of their fundamental properties, and discuss some of the major open problems in the area.

(Bagels and refreshments will be served.)

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