Author(s)

Lucian M. Ionescu

Mathematics Department, Illinois State University, Normal, IL, USA.

A canonical p-adic Frobenius lift is defined in the context of p-adic numbers, viewed as deformations of the corresponding finite field. Applications to p-adic periods are considered, including to the classical Euler gamma and beta functions and their p-adic analogues, from a cohomological point of view. Connections between various methods for computing scattering amplitudes are related to the moduli space problem and period domains.

p-Adic Numbers, Frobenius Lift, Periods, Feynman Integrals, Deformation Theory

Ionescu, L. (2018) A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint. Advances in Pure Mathematics, 8, 408-418. doi: 10.4236/apm.2018.84023.