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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Path integrals and p-adic L-functions - Minhyong K
 im (International Centre for Mathematical Sciences
 )
DTSTART;TZID=Europe/London:20220620T094500
DTEND;TZID=Europe/London:20220620T104500
UID:TALK174395AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/174395
DESCRIPTION:In the 1960s\, Barry Mazur noticed an analogy betw
 een knots and primes that led to a view of the mai
 n conjecture of Iwasawa theory in which the p-adic
  L-function plays the role of the Alexander polyno
 mial. In the late 1980s\, Edward Witten reconstruc
 ted 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 o
 f this history and present a weak arithmetic analo
 gue of Witten&rsquo\;s formula. (This is joint wor
 k with Magnus Carlson\, Hee-joong Chung\, Dohyeong
  Kim\, Jeehoon Park\, and Hwajong Yoo.)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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