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David Ben-Zvi (University of Texas at Austin)
Tuesday 02 August 2022, 14:30-15:30
The Langlands Program as Electric-Magnetic Duality II
- đ¤ Speaker: David Ben-Zvi (University of Texas at Austin)
- đ Date & Time: Tuesday 02 August 2022, 14:30 - 15:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
In these talks we will explore a perspective on the Langlands program inspired by electric-magnetic duality in supersymmetric gauge theory. This perspective combines the interpretation of the geometric Langlands program as a duality of 4d topological quantum field theories discovered by Kapustin and Witten, and the arithmetic topology dictionary between number fields and 3-manifolds associated with Mazur, Morishita, Kapranov, Reznikov and Kim. Our ultimate aim is to see how this perspective elucidates the classical relation between L-functions and period integrals, following joint work with Yiannis Sakellaridis and Akshay Venkatesh.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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