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SUMMARY:A non-abelian Kummer congruence for L-functions of CM elliptic cur
 ves - Dohyeong Kim
DTSTART:20140304T161500Z
DTEND:20140304T171500Z
UID:TALK51172@talks.cam.ac.uk
CONTACT:James Newton
DESCRIPTION:In 2005\, non-commutative Iwasawa theory was formulated by Coa
 tes\, Kato\, Fukaya\, Kato\, and Venjakob. It predicts that a p-adic L-fun
 ction lies in the first algebraic K-group of certain localized Iwasawa alg
 ebra. As a consequence of it\, one can predict various congruences between
  special values of twists of an L-function by various Artin representation
 s\, which we consider as non-abelian generalizations of the classical Kumm
 er congruence. I will describe a concrete example of such arising from CM 
 elliptic curves over false Tate curve extensions\, and give a sketch of a 
 proof using Hilbert modular forms.
LOCATION:MR13
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