## UIC Graduate Student Seminar

Friday March 2

3:00 pm

636 SEO

Speaker: Bhama Srinivasan

Title: Representation Theory of Finite Groups

Abstract:The representation theory of finite groups has its origin at the end
of the
nineteenth century. One of the original goals of the theory was to obtain
information about an abstract group, which could have a very complicated
structure, by "representing" it, i.e. constructing a homomorphism of the group
into a group of matrices. In contemporary research we study the problem
of constructing various representations of a given finite group, which
could itself be a group of matrices, such as the group GL(n,F) of
invertible n x n matricesover a field F. In recent years the methods used to
construct such representations have come from areas such as algebraic
geometry. Someof these methods and some of the problems being studied today
will be
described in this seminar.