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SUMMARY:Samit Dasgupta (Duke University)
DTSTART:20231114T213000Z
DTEND:20231114T223000Z
DTSTAMP:20260419T152204Z
UID:BC-MIT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/6/">O
 n the Brumer-Stark conjecture and refinements</a>\nby Samit Dasgupta (Duke
  University) as part of BC-MIT number theory seminar\n\nLecture held in MI
 T room 2-449.\n\nAbstract\nIn this talk I will describe my recent work wit
 h Mahesh Kakde on the Brumer-Stark Conjecture and certain refinements. I w
 ill give a broad overview that motivates the conjecture and gives connecti
 ons to explicit class field theory. I will conclude with a description of 
 recent work (joint w/ Kakde\, Jesse Silliman\, and Jiuya Wang) in which we
  complete the proof of the conjecture. Moreover\, we deduce a certain spec
 ial case of the Equivariant Tamagawa Number Conjecture\, which has importa
 nt corollaries. The key aspect of the most recent results\, which allows u
 s to handle the prime $p=2$\, is the proof of a version of Ribet's Lemma i
 n the case of characters that are congruent modulo $p$.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/6/
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