Sequential periods of the crystalline Frobenius

Abstract

There is a notion of $p$-adic period coming from the crystalline Frobenius automorphism of the de Rham cohomology of an algebraic variety. In this paper, we consider sequences of $p$-adic periods, one for each prime. We study the sequences using motivic periods, and we formulate an analogue of the Grothendieck period conjecture.

24 pages, comments are very welcome

References in corpus (3)

• p-adic multiple zeta values I -- p-adic multiple polylogarithms and the p-adic KZ equation
• p-adic l-functions and sums of powers
• The MHS algebra and supercongruences

Cited by in corpus (2)

• A finite analogue of the ring of algebraic numbers
• On finite analogues of Euler's constant