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SUMMARY:The Equivariant Tamagawa Number Conjecture for modular motives wit
h coefficients in Hecke algebras
DTSTART;VALUE=DATE-TIME:20170517T083000Z
DTEND;VALUE=DATE-TIME:20170517T093000Z
DTSTAMP;VALUE=DATE-TIME:20220814T043856Z
UID:indico-event-2300@indico.math.cnrs.fr
DESCRIPTION:The Equivariant Tamagawa Number Conjecture (ETNC) of Kato is a
n awe-inspiring web of conjectures predicting the special values of L-func
tions of motives as well as their behaviors under the action of algebras a
cting on motives. In this talk\, I will explain the statement of the ETNC
with coefficients in Hecke algebras for motives attached to modular forms\
, show some consequences in Iwasawa theory and outline a proof (under mild
hypotheses on the residual representation) using a combination of the met
hods of Euler and Taylor-Wiles systems.\n\nhttps://indico.math.cnrs.fr/eve
nt/2300/
LOCATION:IHES Centre de confĂ©rences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/2300/
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