Speaker : Mr. Alex Leontiev (University of Tokyo) Symmetry breaking operators of indefinite orthogonal groups $O(p, q)$ 2017-08-04 (Fri) 10:30 - 11:30 Seminar Room 722, Institute of Mathematics (NTU Campus) In this talk I will present the joint work with T. Kobayashi. We classify the space $Hom_{G^\prime} (I(\lambda)\mid_{G^\prime}, J(\nu))$ where $G\supset G^\prime = O(p,q)\supset O(p-1,q)$ and $I(\lambda),J(\nu)(\lambda,\nu\in\mathbb{C})$ are degenerate spherical principal series representations of $G,G^\prime$. I will explain why this problem is important in representation theory, how it relates to other areas and the techniques used in the proof.