Pre-synopsis Seminar
Monday, February 19, 2024, 4 PM
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Venue: Ramanujan Hall, Department of Mathematics
Host: Dipendra Prasad
Speaker: Dibyendu Biswas
Affiliation: IIT Bombay
Title: Stability of Tensor Products and Branching Laws for Classical Groups
Abstract: We consider the decomposition of tensor products of an irreducible representation of GL(n, C) and of the corresponding representations of GL(n + 1, C) and prove a 'stability result' about such tensor products. We go on to discuss similar questions for classical groups. Then we also discuss the branching laws for the classical pairs (GL(m,C), GL(n, C)), (Sp(2m, C), Sp(2n, C)), (SO(q, C), SO(p, C)) for all m<n, and all q<p.