University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The Langlands Program as Electric-Magnetic Duality III

The Langlands Program as Electric-Magnetic Duality III

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

NC2W01 - Making the bridge: Exploring new connections between number theory and physics

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. 

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity