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SUMMARY:Dominik Bullach (King’s College London)
DTSTART:20220512T094500Z
DTEND:20220512T104500Z
DTSTAMP:20260423T021340Z
UID:NTUniPD/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTUniPD/12/"
 >Dirichlet $L$-series at $s = 0$ and the scarcity of Euler systems</a>\nby
  Dominik Bullach (King’s College London) as part of Number Theory Semina
 rs at Università degli Studi di Padova\n\n\nAbstract\nIn 1989 Coleman mad
 e a distribution-theoretic conjecture which predicts that every Euler syst
 em `for $\\Q$' should essentially be cyclotomic in nature. In this talk I 
 will discuss work joint with Burns\, Daoud and Seo which not only allows u
 s to prove Coleman's Conjecture but also provides an elementary interpreta
 tion of\, and thereby more direct strategy to proving\, the equivariant Ta
 magawa Number Conjecture (eTNC) for Dirichlet $L$-series at $s = 0$. As a 
 concrete application we obtain an unconditional proof of the `minus part' 
 of the eTNC over finite abelian CM extensions of totally real fields.\n
LOCATION:https://researchseminars.org/talk/NTUniPD/12/
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