$p$-adic Beilinson's formulas for Rankin $p$-adic L-functions and applications

Seminar series

Number Theory Seminar

Date

Thu, 27 Sep 2012

Time

14:45 - 15:25

Location

Speaker

Massimo Bertolini

Organisation

Milan

I will report on $p$-adic Beilinson's formulas, relating the values of certain Rankin $p$-adic L-functions outside their range of classical interpolation, to $p$-adic syntomic regulators of Beilinson-Kato and Beilinson-Flach elements. Applications to the theory of Euler systems and to the Birch and Swinnerton-Dyer conjecture will also be discussed. This is joint work with Henri Darmon and Victor Rotger.