p-adic Beilinson conjecture for elliptic curves

par Masataka Chida (Mathematical Institute, Tohoku University)

jeudi 13 févr. 2020, 14:00 → 15:00 Europe/Paris

M7 (UMPA, ENS de Lyon)

Perrin-Riou proposed a p-adic analogue of Beilinson's conjecture which
describes a relation between special values of p-adic L-functions and
arithmetic invariants.
In this talk, we will introduce a reformulation of Perrin-Riou's conjecture for
elliptic curves using syntomic regulators and we will give some numerical
evidences for Perrin-Riou's conjecture including critical slope case.
For numerical computations of p-adic regulators, we use a variant of p-adic
hypergeometric functions. This is a joint work with Masanori Asakura.