PIRSA:24020062

Arithmetic Electric-Magnetic Duality

Ben-Zvi, D. (2024). Arithmetic Electric-Magnetic Duality. Perimeter Institute. https://pirsa.org/24020062

Ben-Zvi, David. Arithmetic Electric-Magnetic Duality. Perimeter Institute, Feb. 15, 2024, https://pirsa.org/24020062 

          @misc{ pirsa_PIRSA:24020062,
            doi = {10.48660/24020062},
            url = {https://pirsa.org/24020062},
            author = {Ben-Zvi, David},
            keywords = {Other},
            language = {en},
            title = {Arithmetic Electric-Magnetic Duality},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {feb},
            note = {PIRSA:24020062 see, \url{https://pirsa.org}}
          }

David Ben-Zvi

The University of Texas at Austin

Talk number
PIRSA:24020062
Collection
Talk Type
Subject
Abstract

The Langlands program is a grand organizing vision for a large slice of number theory and representation theory. A shockingly accurate metaphor for the Langlands program has emerged as electric-magnetic duality in four-dimensional gauge theory, but where the role of spacetime is played by objects from arithmetic. I will describe recent work with Yiannis Sakellaridis and Akshay Venkatesh, in which we apply ideas from QFT (the Gaiotto-Witten electric-magnetic duality for boundary theories) to a fundamental problem in number theory, predicting the relation between L-functions of Galois representations and integrals of automorphic forms.

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