Beijing Institute of Mathematical Sciences and Applications

Tai Wang Deng , Bin Xu , Jun Yu

Haluk Sengun

Monday, November 28, 2022 7:00 PM - 8:30 PM

Online

Zoom 293 812 9202 (BIMSA)

Local theta correspondence sets up a bijection between certain sets of admissible irreps of a pair of reductive groups G,H which sit as each others' centralizers in a larger symplectic group. The local correspondences then bundle up to set up a bijection between certain sets of automorphic representations of G and H. As a result, local theta correspondence is of importance in both representation theory and in the theory of automorphic forms. In joint work with Bram Mesland (Leiden), we have used Rieffel's theory of induction for representations of C*-algebras to prove that in many cases, local theta lifting is functorial and is continuous with respect to weak containment. In the talk, I will explain our approach and time permitting, will discuss further applications. Some of the results I will discuss can be found in the preprint arXiv:2207.13484.

Haluk Sengun is a number theorist based at the University of Sheffield, UK. He obtained his PhD at the University of Wisconsin-Madison and has held postdoctoral positions in Essen, Bonn, Barcelona and Warwick. He is interested arithmetic aspects of automorphic forms, cohomology of arithmetic groups and computational approaches. His recent work focuses on bringing in tools from the theory of C*-algebras and noncommutative geometry to his areas of interest listed above.