Brauer's height zero conjecture

Pham Huu Tiep, Rutgers University and Princeton University
Fine Hall 314

In-Person and Online Talk 

Richard Brauer's height zero conjecture (from 1955) predicts that, for any finite group G and prime p, certain arithmetical properties of the degrees of complex irreducible representations of G within a p-block B are controlled by its defect groups. Building on work of many mathematicians, one part of the conjecture was finally proved by Kessar and Malle in 2013; however, the other part of the conjecture remained open. In this talk, we will discuss the recent proof of this remaining part of the conjecture.

This is joint work with Malle, Navarro, and Schaeffer Fry.