On periods: from global to local

Abstract

Complex periods are algebraic integrals over complex algebraic domains, also appearing as Feynman integrals and multiple zeta values. The Grothendieck-de Rham period isomorphisms for p-adic algebraic varieties defined via Monski-Washnitzer cohomology, is briefly reviewed. The relation to various p-adic analogues of periods are considered, and their relation to Buium-Manin arithmetic differential equations.

9 pages

References in corpus (4)

• Multiple zeta values and periods of moduli spaces ${\mathfrak{M}}_{0,n}$
• Periods and Feynman amplitudes
• Periods and Applications
• On p-adic Frobenius lifts and p-adic periods, from a Deformation Theory viewpoint