Algebraic Families of Harish-Chandra pairs and their modules I
Speaker: Eyal Subag, Penn State
Abstract: In my talk I will try to convince you that Lie groups come in natural algebraic families. A construction of such families that relates different real forms of GL(n,C), and SL(n,C) will be given. Moreover, we shall see that we can naturally associate families of Harish-Chandra pairs to these families of groups. For the family that goes through SU(2), SU(1,1), and their Cartan motion group, a classification of generically irreducible Harish Chandra modules will be given. As an application, a formulation of the Mackey bijection between the duals of SU(1,1) and its Cartan motion group in terms of families of Harish Chandra modules will be presented. The talk is based on a joint work with Joseph Bernstein and Nigel Higson.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm