PIRSA ID: 24020062
Series: Colloquium
Event Type: Seminar
Scientific Area(s): Other
End date: 2024-02-15
Speaker(s): David Ben-Zvi David Ben-Zvi The University of Texas at Austin
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.
---