# Algebra/Number Theory Seminar

## Langlands beyond endoscopy proposal and its related questions on algebraic groups and combinatorics

Heekyoung Hahn, Duke University

Wednesday, October 10th, 2018
12:00 PM - 1:00 PM
Hylan 202

Langlands’ beyond endoscopy proposal for establishing functoriality motivates the study of irreducible subgroups of $\mathrm{GL}_n$ that stabilize a line in a given representation of $\mathrm{GL}_n$. Such subgroups are said to be detected by the representation. In this talk we present a family of results when the subgroup is a classical group in the important special case where the representation of $\mathrm{GL}_n$ is a subrepresentation of the triple tensor product representation $\otimes^3$. If time permits, we will prove some partition identities arising in this context and discuss their relation to explicit Satake inversion.

Event contact: c dot d dot haessig at rochester dot edu