International Seminar on Automorphic Forms

Haluk Sengun (University of Sheffield):Theta correspondence via C*-algebras

Abstract: The local theta correspondence sets up a bijection between certain subsets of admissible duals of suitable pairs of reductive groups. There are two special cases in which the correspondence is known to enjoy extra features, the ‘equal rank’ case where temperedness is preserved and the ‘stable range’ case where unitarity is preserved. In joint work with Bram Mesland (Leiden), we show that in these special cases, the local theta correspondence is actually given by a Morita equivalence of suitable
C*-algebras. I will try to expose this result and, time permitting, some applications.

https://tu-darmstadt.zoom.us/j/68048280736