Character ratios for finite groups of Lie type
Location: MSRI: Simons Auditorium
Finite groups of Lie type
A character ratio for a finite group G is a complex number of the form chi(g)/chi(1), where chi is an irreducible character of G. I shall discuss some recent results on character ratios for finite groups of Lie type, I shall also mention several diverse applications, to random walks, probabilistic generation, and representation varieties of some classes of infinite groups
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