Talk page

Title:
Character methods and probabilistic methods in groups

Speaker:
Aner Shalev

Abstract:
Character methods, probabilistic methods, and their combination, have been instrumental in the solution of various problems in group theory over the years. In the talk I will provide a brief background and then focus on some brand new results and conjectures, related to random walks and to word maps. In particular I will discuss a solution (joint work with Larsen and Tiep) of the so-called Probabilistic Waring Problem for finite simple groups, which applies strong new character bounds.

Link:
https://www.msri.org/workshops/820/schedules/23927

Workshop:
MSRI- Representations of Finite and Algebraic Groups