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 : 60,60 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 : 28,28 MB
Total View : 6801 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

When We Cease to Understand the World

When We Cease to Understand the World

File Size : 4,4 MB
Total View : 3199 Views
DOWNLOAD

One of The New York Times Book Review’s 10 Best Books of 2021 Shortlisted for the 2021 International Booker Prize and the 2021 National Book Award for Transla

Not Even Wrong

Not Even Wrong

File Size : 50,50 MB
Total View : 7344 Views
DOWNLOAD

At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary phy

Mathematics without Apologies

Mathematics without Apologies

File Size : 15,15 MB
Total View : 5534 Views
DOWNLOAD

An insightful reflection on the mathematical soul What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers—for the sake