Jacksyn Bakeberg (Boston University)
Event Date
2025-11-05
Event Time
03:15 pm ~ 04:45 pm
Event Location
Wachman 413
The Bernstein center of a $p$-adic group is a commutative ring of certain distributions on the group, and it interacts closely with the group’s representation theory. Fargues and Scholze provide an abstract construction of a class of elements of the Bernstein center called excursion operators, which encode a candidate for the (semisimplified) local Langlands correspondence. In this talk, I will present an approach to understanding excursion operators concretely as distributions on the group, with a special emphasis on the case of $G = \mathrm{SL}_2$ where everything can be made quite explicit.