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Thursday, April 23, 2020 | History

5 edition of Foundations of p-adic Teichmüller theory found in the catalog.

# Foundations of p-adic Teichmüller theory

Published by American Mathematical Society, International Press in Providence, R.I, [Cambridge, Mass.] .
Written in English

Subjects:
• Teichmüller spaces.,

• Edition Notes

Includes bibliographical references (p. 519-523) and index.

Classifications The Physical Object Statement Shinichi Mochizuki. Series AMS/IP studies in advanced mathematics ;, v. 11 LC Classifications QA337 .M63 1999 Pagination xii, 529 p. : Number of Pages 529 Open Library OL38438M ISBN 10 0821811908 LC Control Number 99026586

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This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both by: On one hand, this theory generalizes the Fuchsian and Bers uniformizations of complex hyperbolic curves and their moduli to nonarchimedian places.

That is why in this book, the theory is referred to as $$p$$-adic Teichmüller theory, for short. On the other hand, the theory may be regarded as a fairly precise hyperbolic analog of the Serre-Tate. p-adic Teichm¨uller Theory by Shinichi Mochizuki The goal Foundations of p-adic Teichmüller theory book the present manuscript is to provide an introduction to the theory of uniformization of p-adic hyperbolic curves and their moduli of [Mzk1,2].

On the one hand, this theory generalizes the Fuchsian and Cited by: 1. In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields with residual characteristic p (such as Q p).The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the notion of Hodge–Tate –Tate representations are Foundations of p-adic Teichmüller theory book.

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 (, ). The first problem is to Foundations of p-adic Teichmüller theory book the Fuchsian uniformization of a complex Riemann surface (an. FOUNDATIONS OF p-ADIC HODGE THEORY 5 corresponding morphism B o!A in rmore, any functor F: A!B induces a functor F o: A o!B, in the obvious way.

A morphism f: A!Bin C is said to be a monomorphism if the induced map. The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of p-adic representations. My hope is that students and mathematicians who are new to the subject will find it useful as a starting point.

It consists mostly Foundations of p-adic Teichmüller theory book an expanded version of the notes for my two lectures at the "Dwork trimester" in June Cited by: For model theory we refer to the books of Marker Foundations of p-adic Teichmüller theory book and Poizat [].

For valuations we refer to Engler and Prestel’s book []. For various basic properties of Q pwe refer to []. The p-adic numbers Hensel’s numbers Let pbe a prime number.

The p-adic numbers were introduced by Kurt Hensel at. studied for schemes over p-adic elds, but we intend to show here that the whole theory extends naturally to rigid-analytic varieties over p-adic elds. This is of course in analogy with classical Hodge theory, which most naturally is formulated in terms of complex-analytic spaces.

Several di culties have to be overcome to make this work. Book Description. A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas.

It showcases research results in functional analysis over nonarchimedean valued complete fields. INTRODUCTION TO THE THEORY OF ADMISSIBLE REPRESENTATIONS OF p-ADIC REDUCTIVE GROUPS W. CASSELMAN Draft: 1 May It is my intention in this paper to lay a part of the foundations of the theory this becomes one of the cornerstones of the theory of admissible representations.

One basic fact is that the functor V VN is exact File Size: KB. An Introduction to p-adic Teichmuller Theory. It is for this reason that we shall often refer to this theory as p-adic Teichmüller theory, for short.

On the other hand, this theory may be Author: Shinichi Mochizuki. P-ADIC NUMBERS 5 Ostrowski proved that any eld complete with respect to an archimedean absolute value is isomorphic to R or C. As a consequence, any eld that can be endowed with an archimedean absolute value is isomorphic to a sub eld of C.

On the other hand, there is a much larger variety of elds with a non-archimedean absolute value. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The goal of the present manuscript is to provide an introduction to the theory of uniformization of p-adic hyperbolic curves and their moduli of [Mzk1,2].

On the one hand. FOUNDATIONS OF p-ADIC HODGE THEORY OFER GABBER AND LORENZO RAMERO Novem CONTENTS 0. Introduction 2 1.

Preliminaries 2 Some commutative algebra 2 Witt vectors and Fontaine rings 11 Quasi-coherent modules 20 Cohomology in a ringed space 32 2. Local cohomology 41 Duality for quasi-coherent modules 41 Representation theory of p-adic groups Dates: Workshop: July; Conference: JulyVenue: Lecture Hall Complex, Room / Idea.

In anabelian geometry one studies how much information about a space X X (specifically: an algebraic variety) is contained already in its first étale homotopy group π 1 et (X, x) \pi^{et}_1(X,x) (specifically: the algebraic fundamental group).

The term “anabelian” is supposed to be alluding to the fact that “the less abelian π 1 et (X, x) \pi^{et}_1(X,x) is, the more. Fumiharu Kato’s book about IUT9, for a general audience, published in Japanese in Aprilentered the list of 20 bestsellers in all subject areas.

We can review some general aspects of modern pioneering mathematical research, in light of IUT, its study and reaction to it.

Ohta, Masami Introduction In our previous investigation, motivated by a work of Ihara [I], we studied several types of one-dimensional p-adic cohomology groups attached to "almost pro-/.

towers" of algebraic curves. If G is a connected reductive p-adic group and P is a parabolic subgroup of G, then we extend the functor Ord(P) of ordinary parts to a certain delta-functor, which we denote H(center dot)Ord(P).Author: Matthew Emerton. Chapter I.

Elementary Analysis and Representation Theory 7 1. l-Spaces 7 Deﬁnitions and Lemmas 7 Functions and Distributions 8 Sheaves 9 2. The Hecke Algebra 11 The Hecke Algebra 11 Applications 13 3. Some Functors 15 Adjoint Functors 15 Induction 16 Jacquet Functor 17 4.

Irreducible Representations 17 Yukako Kezuka was an MSc student at Imperial College in Her MSc project was on the class number one problem, and her write-up is very readable; it develops essentially all of the theory that one needs to solve the problem, following the Heegner/Stark approach.

The thesis is here. Kevin Buzzard is his-last-name at Exposé: Identity theorem for bounded p-adic meromorphic functions. Invitation à: Special Session Value Distribution in Classical and p-adic Functions Theory de l'AMS Meeting de San Antonio, USA, Janvier Exposé: Non-convergent SRU's for analytic elements in a p-adic field.

Peter Manning - Electronic and computer music (, Oxford University Press, USA) ISBN(s) Amazon配送商品ならFoundations of P-Adic Teichmuller Theory (AMS/IP STUDIES IN ADVANCED MATHEMATICS)が通常配送無料。更にAmazonならポイント還元本が多数。Mochizuki, Shinichi作品ほか、お急ぎ便対象商品は当日お届けも可能。. Basic representation theory of reductive p-adic groups 5 again) of the set Xof subsets Jof Isuch that W\ P P j2J U j = f0g.

Then the sum of Wand j2K U j is direct and its intersection with any U i, i2I, is either U i or f0g. It must be U i, otherwise the set K[figwould belong to X. Hence k2KU k is a G-complement of Win V.