School of Mathematical Sciences

Seminar: Signed Selmer groups via p-adic Hodge theory

Monday 11th July 2011 (14:30-16:00)
Dr Konstantin Ardakov

Antonio Lei (Melbourne)


I will explain how to redefine Kobayashi's plus and minus Selmer groups for supersingular elliptic curves over the p-cyclotomic extension of Q using p-adic Hodge theory. This approach allows us to generalise Kobayashi's reformulation of Kato's main conjecture to modular forms. I will also explain how this may lead to a definition of plus and minus Selmer groups over more general extensions of Q.

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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