Tuesday, July 2, 14:45, 7.527

David Craven (Birmingham)
The Brauer trees of finite groups.

Abstract:
Understanding how complex representations break up when taken over a field of characteristic p is an old problem in representation theory. For simple groups of Lie type, for some time the geometric constructions of Deligne and Lusztig have been posited to offer insight into this. Using this theory, we can obtain information about the decomposition problem above, especially when the Sylow p-subgroup is cyclic. In this talk I will introduce these ideas and state some recent progress.