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Perrin-Riou's conjecture for elliptic curves

Hold Date 2019-11-05 15:30~2019-11-05 16:30

Place Lecture Room L W1-C-501, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Masataka CHIDA (Tokyo Denki University)

Perrin-Riou proposed a p-adic analogue of Beilinson's conjecture whichdescribes a relation between special values of de Rham cohomology valued p-adic L-functions and arithmetic invariants. In this talk, we will introduce a reformulation of Perrin-Riou's conjecture forelliptic curves using syntomic regulators and we will give some numericalevidences for Perrin-Riou's conjecture including critical slope case. This is a joint work with Masanori Asakura.