Foundations of $p$-adic Teichmuller Theory

Released on by Shinichi Mochizuki
preview-18

  • Foundations of $p$-adic Teichmuller Theory Book Detail

  • Author : Shinichi Mochizuki
  • Release Date : 2014-01-06
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 546
  • ISBN 13 : 1470412268
  • File Size : 21,21 MB
DOWNLOAD BOOK

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

Book Description: 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 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 theory of ordinary abelian varieties and their moduli. The theory of uniformization of p-adic hyperbolic curves and their moduli was initiated in a previous work by Mochizuki. And in some sense, this book is a continuation and generalization of that work. This book aims to bridge the gap between the approach presented and the classical uniformization of a hyperbolic Riemann surface that is studied in undergraduate complex analysis. Features: Presents a systematic treatment of the moduli space of curves from the point of view of p-adic Galois representations.Treats the analog of Serre-Tate theory for hyperbolic curves.Develops a p-adic analog of Fuchsian and Bers uniformization theories.Gives a systematic treatment of a "nonabelian example" of p-adic Hodge theory. Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

Disclaimer: www.yourbookbest.com does not own Foundations of $p$-adic Teichmuller Theory books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Foundations of $p$-adic Teichmuller Theory

Foundations of $p$-adic Teichmuller Theory

File Size : 79,79 MB
Total View : 4743 Views
DOWNLOAD

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

p-Adic Analysis

p-Adic Analysis

File Size : 95,95 MB
Total View : 2610 Views
DOWNLOAD

This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematical physics an

Galois Theory and Modular Forms

Galois Theory and Modular Forms

File Size : 50,50 MB
Total View : 9607 Views
DOWNLOAD

This volume is an outgrowth of the research project "The Inverse Ga lois Problem and its Application to Number Theory" which was carried out in three academic y