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SUMMARY:Path integrals and p-adic L-functions - Minhyong Kim (Internationa
 l Centre for Mathematical Sciences)
DTSTART:20220620T084500Z
DTEND:20220620T094500Z
UID:TALK174395@talks.cam.ac.uk
DESCRIPTION:In the 1960s\, Barry Mazur noticed an analogy between knots an
 d primes that led to a view of the main conjecture of Iwasawa theory in wh
 ich the p-adic L-function plays the role of the Alexander polynomial. In t
 he late 1980s\, Edward Witten reconstructed the Jones polynomial as a path
  integral-in the sense of quantum field theory-associated to SU(2) Chern-S
 imons theory. This talk will review some of this history and present a wea
 k arithmetic analogue of Witten&rsquo\;s formula. (This is joint work with
  Magnus Carlson\, Hee-joong Chung\, Dohyeong Kim\, Jeehoon Park\, and Hwaj
 ong Yoo.)
LOCATION:Seminar Room 1\, Newton Institute
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