21/12/2011, 15:00 — 16:00 — Room P3.10, Mathematics Building
Rui Palma, Oslo and CEAF
Hecke algebras and their -completions
Hecke algebras can be seen as an analogue of group algebras of quotient groups when is no longer a normal subgroup. They admit several canonical -completions and when some of these coincide, and a maximal -norm exists, there is a nice correspondence between -representations of a Hecke algebra and unitary representations of generated by the -fixed vectors. In this seminar I will give an overview of the theory of Hecke algebras and their various -completions. I will also discuss some recent work on the existence of a maximal -completion and the isomorphism problem among the remaining canonical completions, for several classes of Hecke algebras.
PhD-student at the University of Oslo and Colaborator of CEAF