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Character methods and probabilistic methods in groups

Representations of Finite and Algebraic Groups April 09, 2018 - April 13, 2018

April 10, 2018 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Aner Shalev (The Hebrew University of Jerusalem)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • groups

  • simple groups

  • representations

  • probability

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

7-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.

Supplements
31067?type=thumb Notes 147 KB application/pdf Download
Video/Audio Files

7-Shalev

H.264 Video 7-Shalev.mp4 413 MB video/mp4 Download
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