FJ-LMI Seminar

Seminar information archive ~05/02Next seminarFuture seminars 05/03~

Organizer(s) Toshiyuki Kobayashi, Michael Pevzner

2024/12/04

14:00-15:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Jonathan Ditlevsen (The University of Tokyo)
Symmetry breaking operators for the pair (GL(n+1,R), GL(n,R)) (英語)
[ Abstract ]
In this talk, we construct explicit symmetry breaking operators (SBOs) between principal series representations of the group GL(n+1,R) and its subgroup GL(n,R). Using Bernstein–Sato identities, we find a holomorphic renormalization of a meromorphic family of SBOs. Finally, we identify certain differential SBOs as residues of this holomorphic family.
[ Reference URL ]
https://fj-lmi.cnrs.fr/seminars/