A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint

Lucian M. Ionescu

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A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint

机译：从变形理论的角度研究p-Adic Frobenius升力和p-Adic周期

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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.

机译：典型的p-adic Frobenius升力是在p-adic数的上下文中定义的，被视为相应有限域的变形。从同调观点来看，考虑了对p-adic时期的应用，包括经典的Eulerγ和β函数及其p-adic类似物。各种计算散射幅度的方法之间的联系与模空间问题和周期域有关。

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《Advances in Pure Mathematics》 |2018年第4期|共11页
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Lucian M. Ionescu;
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中图分类数学;
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1. p-adic period map for the moduli space of deformations of a formal group [J] . Demchenko O, Gurevich A Journal of Algebra . 2005,第2期

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2. On p-adic L-series, p-adic cohomology and class field theory [J] . DavidBurns, DanielMacias Castillo Journal fur die Reine und Angewandte Mathematik . 2017,第732期

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3. Higher Algebraic K-Theory of p-Adic Orders and Twisted Polynomial and Laurent Series Rings Over p-Adic Orders [J] . Aderemi Kuku Communications in algebra . 2011,第10期

机译：p-Adic阶的高代数K-理论以及p-Adic阶上的扭曲多项式和Laurent级数环
4. Relative p-adic Hodge Theory and Rapoport-Zink Period Domains [C] . Kiran Sridhara Kedlaya International Congress of Mathematicians . 2010

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5. Universal Deformations and p-Adic L-Functions [D] . Sehanobish, Arijit. 2019

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6. Solvability of the p-Adic Analogue of Navier–Stokes Equation via the Wavelet Theory [O] . Ehsan Pourhadi, Andrei Khrennikov, Reza Saadati, 2019

机译：通过小波理论的Navier-Stokes方程的P-ADIC类似物的可解
7. p-adic period map for the moduli space of deformations of a formal group [O] . Demchenko Oleg, Gurevich Alexander 2005

机译：p-adic周期图用于形式组变形的模空间

A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint

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