分野別セミナー

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.