COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Number Theory Seminar > A non-abelian Kummer congruence for L-functions of CM elliptic curves

## A non-abelian Kummer congruence for L-functions of CM elliptic curvesAdd to your list(s) Download to your calendar using vCal - Dohyeong Kim
- Tuesday 04 March 2014, 16:15-17:15
- MR13.
If you have a question about this talk, please contact James Newton. In 2005, non-commutative Iwasawa theory was formulated by Coates, Kato, Fukaya, Kato, and Venjakob. It predicts that a p-adic L-function lies in the first algebraic K-group of certain localized Iwasawa algebra. As a consequence of it, one can predict various congruences between special values of twists of an L-function by various Artin representations, which we consider as non-abelian generalizations of the classical Kummer 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. This talk is part of the Number Theory Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- MR13
- Number Theory Seminar
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsCardiovascular Epidemiology Unit Special Seminars Effective Altruism: Cambridge Thinking Society: What is Life?## Other talksGrammar Variational Autoencoder Electrophysiological approaches in Lewy body dementia: helpful or not? CPGJ Reading Group "Space, Borders, Power" Virtual bargaining as a micro-foundation for communication Attentional episodes and cognitive control The Partition of India and Migration |