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Foundations of p-adic teichmuller theory

Web[P(!)] ˆH1(X;R) which meets the unit sphere in a set of diameter O(e (K)T). Here the unit sphere and diameter are de ned using the Hodge norm on H1(X;R), and (K) >0 depends only on K. One can regard Theorem 1.2 as a quantitative re nement of Theorem 1.1. In the recurrent case we can take T = 1, [P(!)] reduces to a single WebMay 8, 2024 · The aim of the present paper is to provide a new aspect of the -adic Teichmüller theory established by S. Mochizuki. We study the symplectic geometry of …

Foundations of $p$-adic Teichmuller Theory by Shinichi Mochizuki

WebDescription This book lays the foundation for a theory of uniformization of p–adic hyperbolic curves and their moduli. On one hand, this theory generalizes the Fuchsian and Bers uniformizations of complex hyperbolic curves and their moduli to … WebJan 6, 2014 · This book lays the foundation for a theory of uniformization of p-adic hyperbolic curves and their moduli. On one hand, this theory generalizes the Fuchsian … coconut makes throat itchy https://reflexone.net

inter-universal Teichmüller theory in nLab

WebApr 19, 2024 · In "Foundations of p -adic Teichmüller theory", Mochizuki describes a theory one of whose goals (according to the author) is to generalize Fuchsian … WebThe modern aspects of the theory include Ahlfors's and Bers's natural complex analytic coordinates for Teichmuller space, the infinitesimal theory of Teichmuller's metric and … WebHistory of Valuation Theory Part I Peter Roquette (Heidelberg) 23.7.2003 Abstract The theory of valuations was started in 1912 by the Hungarian mathe-matician Josef Kursc h ak who formulated the valuation axioms as we are used today. The main motivation was to provide a solid foundation for the theory of p-adic elds as de ned by Kurt Hensel. cal map highways

p-adic Hodge theory, deformations and local Langlands

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Foundations of p-adic teichmuller theory

FOUNDATIONS OF $P$-ADIC TEICHMULLER THEORY (AMS/IP …

WebCOMMENTS ON “FOUNDATIONS OF p-ADIC TEICHMULLER THEORY” 3¨ On the other hand, one verifies immediately that (NorFor) follows formally from (NorForZar). … WebOpen Access Introduction Crys-stable bundles Torally Crys-stable bundles in positive characteristic VF-patterns Construction of examples Combinatorialization at infinity of the …

Foundations of p-adic teichmuller theory

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Webgoogle_logo Play. Games. Apps WebJun 8, 2024 · Hodge and Teichmüller. We consider the derivative of the projection from a stratum of Abelian or quadratic differentials to Teichmüller space. A closed one-form determines a relative cohomology class , which is a tangent vector to the stratum. We give an integral formula for the pairing of of with a cotangent vector to Teichmüller space (a ...

WebIsub-p-adic eld = eld ,! nitely generated extension of Q p. ILet K be a sub-p-adic eld and X K;Y K two hyperbolic curves over K. (Mochizuki) Isom K(X K;Y K)!˘ Isomouter G k (X K; Y): IX=proper smooth connected curve over Q. I A Belyi map is a dominant map of Q-schemes ˚: X !P1 Q which is unrami ed over the tripod P 1nf0;1;1g. WebJan 6, 2014 · Foundations of $p$-adic Teichmuller Theory (AMS/IP Studies in Advanced Mathematics) by Shinichi Mochizuki 0.00 · Rating details · 0 ratings · 0 reviews Get A …

In mathematics, p-adic Teichmüller theory describes the "uniformization" of p-adic curves and their moduli, generalizing the usual Teichmüller theory that describes the uniformization of Riemann surfaces and their moduli. It was introduced and developed by Shinichi Mochizuki (1996, 1999). The first problem is to reformulate the Fuchsian uniformization of a complex Riemann surface (an isomorphism from the upper half plane to a universal covering space of the surface) in a way th… Weba possible link between p-adic Hodge theory for Gal(Q p/Q p) (or the Weil group of Q p) on the one side and the theory of p-adic and modulo p rep-resentations of GL 2(Q p) on the other side (not to mention GL n of a p-adic local field!). In other terms, to suggest hypothetic continuous p-adic and modulo p Langlands correspondences.

WebDownload or read book Foundations of p-adic Teichmüller Theory written by Shinichi Mochizuki and published by American Mathematical Soc.. This book was released on …

calm and peace essential oilWeb278, 2002, p. 1-49 AN INTRODUCTION TO p-ADIC TEICHMULLER THEORY by Shinichi Mochizuki Abstract. In this article, we survey a theory, developed by the author, … coconut machineryWebThe Teichmuller representative associated to a p -adic integer a is the unique root of x p − x in Z p congruent to a mod p. One can identify this representative with the limit, as n tends to infinity, of a p n. Now let a 1, a 2, …, a k be the roots of … coconut mall mario kart sheet musicWebDownload Full Foundations of p-adic Teichmüller Theory in PDF by Shinichi Mochizuki Full eBook and published by American Mathematical Soc.. This book was released on 2014-01-06 with total page 529 pages. coconut macaroon tray bakeWebThis work, which has been peer-reviewed and well received by the mathematical community, includes major contributions to anabelian geometry, and the development of … coconut macaroon sandwich cookiesWebFoundations of p-adic Teichmüller theory by Shinichi Mochizuki, 1999, American Mathematical Society, International Press edition, in English coconut mall 1 hour loopWeb1. Basics on p-adic fields We will rst look at di erent approaches to constructing the p-adic integers Z p and the p-adic numbers Q p, as well as more general rings of integers in p-adic elds, and recall some of their basic properties. I highly recommend [Ne] Chapter II for a detailed discussion of this topic. p-adic numbers. Let pbe a prime ... coconut macaroons with chocolate chips