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# Relative Geometric Langlands Duality - I

## [Moved Online] (∞, n)-categories, factorization homology, and algebraic K-theory March 23, 2020 - March 27, 2020

March 24, 2020 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): David Ben-Zvi (University of Texas, Austin)
Location: MSRI: Online/Virtual
Tags/Keywords
• geometric Langlands

• topological field theory

• automorphic L-function

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification
Video

#### 1-Ben

Abstract

I will present joint work with Yiannis Sakellaridis and Akshay Venkatesh in which we apply insights from physics (the understanding of electric-magnetic duality for boundary conditions in gauge theory) to a problem in number theory (the connection between period integrals and L-functions). The intermediary between the two is a duality between hamiltonian actions of Langlands dual groups, a relative" form of the geometric Langlands correspondence.

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