Homological Aspects of Branching Laws in p-adic Groups

Explore homological aspects of branching laws for representations of p-adic groups in this 59-minute lecture by Dipendra Prasad at BIMSA. Delve into the restriction of generic representations from a group G to its closed subgroup H, focusing on the GGP context. Examine how these restrictions become projective representations on most Bernstein blocks of H's smooth representation category. Discover the simple structure of π|_H when it acts as a projective module in a specific Bernstein block. Gain insights into the work of Chan and Chan-Savin in this specialized mathematical discourse on representation theory and group restrictions.