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Mathematical Physics Seminar

In-Person Seminar: Pham Tiep - Bounding Character Values of Finite Groups

Location: 
Date & time: Thursday, 29 February 2024 at 12:10PM - 1:00PM

IN-PERSON MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
HILL 705
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Pham Tiep - Rutgers University

Date/Time/Location
Thursday,
February 29th, 12:10pm; Hill Center 705

Bounding character values of finite groups

 

Finite-dimensional complex representations of finite groups are determined (up to equivalence) by their characters, i.e. traces of group elements acting on the representation space. In spite of substantial knowledge available on complex representations of finite simple groups, obtaining good upper bounds on absolute values of these traces is still a very difficult problem. We first describe some applications, assuming good upper bounds on character values of finite simple groups. Then we will discuss recent results that produce such character bounds