University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Path integrals and p-adic L-functions

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Path integrals and p-adic L-functions

Download to your calendar using vCal

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

KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights

In the 1960s, Barry Mazur noticed an analogy between knots and primes that led to a view of the main conjecture of Iwasawa theory in which the p-adic L-function plays the role of the Alexander polynomial. In the late 1980s, Edward Witten reconstructed the Jones polynomial as a path integral-in the sense of quantum field theory-associated to SU(2) Chern-Simons theory. This talk will review some of this history and present a weak arithmetic analogue of Witten’s formula. (This is joint work with Magnus Carlson, Hee-joong Chung, Dohyeong Kim, Jeehoon Park, and Hwajong Yoo.)

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

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

CRASSH: The Alison Richard Building Hybrid: in-person in Cambridge & online via Teams Yusef Hamied Lecture Theatre, Christ's College

Other talks

Group Work Non-stationarity in structural dynamics, challenges and implications for modelling and structural health monitoring Market Failure, Organ Shortage, Pandemic and Climate Change: The Architecture of Cooperation Title TBC CSAR lecture: Decarbonizing road freight (TBC) Title to be confirmed
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity