Speaker: Clotilde Gauthier (Düsseldorf)
Title: On Principal Series of \(GL(3,Q_p)\)
Abstract:
In order to get informations on a group, one can look at its representations. Here, we are looking at principal series of \(GL(3,Q_p)\) that is to say, representations obtained by inducing some linear characters of the subgroup of upper triangular matrices. When reducing to the maximal compact subgroup \(GL(3,Z_p)\) one can get a decomposition of such representations to a direct sum of irreducible subrepresentations. This decomposition then provides a zeta function associated to the initial representation.