Given the current knowledge of complex representations of finite simple groups, obtaining good upper bounds for their characters values is still a difficult problem, a satisfactory solution of which would have significant implications in a number of applications. We first discuss some such applications. Then we will report on recent results that produce such character bounds.
This video is part of the Institute for Advanced Study‘s Members’ colloquium.
Related videos in this area: Algebra, Finite groups, Finite simple groups, Group theory, Representation theory, Representations of finite groups, Representations of groups of Lie type
