Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci by Kai-Wen Lan, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Kai-Wen Lan ISBN: 9789813207349
Publisher: World Scientific Publishing Company Publication: July 21, 2017
Imprint: WSPC Language: English
Author: Kai-Wen Lan
ISBN: 9789813207349
Publisher: World Scientific Publishing Company
Publication: July 21, 2017
Imprint: WSPC
Language: English

This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical foundation of several recent developments in the theory of p-adic automorphic forms; and of the author's work with Harris, Taylor, and Thorne on the construction of Galois representations without any polarizability conditions, which is a major breakthrough in the Langlands program.

This book is important for active researchers and graduate students who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas. It also contains precise internal and external references, and an index of notation and terminologies. These are useful for readers to quickly locate materials they need.

Contents:

  • Introduction
  • Theory in Characteristic Zero
  • Flat Integral Models
  • Ordinary Loci
  • Degeneration Data and Boundary Charts
  • Partial Toroidal Compactifications
  • Partial Minimal Compactifications
  • Ordinary Kuga Families
  • Automorphic Bundles and Canonical Extensions

Readership: Graduate students and researchers who are interested in the applications of Shimura varieties in algebraic number theory.
Key Features:

  • One of the most complete treatments of an important topic
  • Has applications to many recent developments in related topics in algebraic number theory
  • Contains plenty of details and explanations, which can be helpful to many researchers and graduate students
  • A desired sequel to the author's previous book on compactifications of Shimura varieties
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical foundation of several recent developments in the theory of p-adic automorphic forms; and of the author's work with Harris, Taylor, and Thorne on the construction of Galois representations without any polarizability conditions, which is a major breakthrough in the Langlands program.

This book is important for active researchers and graduate students who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas. It also contains precise internal and external references, and an index of notation and terminologies. These are useful for readers to quickly locate materials they need.

Contents:

Readership: Graduate students and researchers who are interested in the applications of Shimura varieties in algebraic number theory.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Advances in Wave Turbulence by Kai-Wen Lan
Cover of the book The Fundamental Constants by Kai-Wen Lan
Cover of the book Analysis of Biological Systems by Kai-Wen Lan
Cover of the book More and Different by Kai-Wen Lan
Cover of the book Albert Einstein Memorial Lectures by Kai-Wen Lan
Cover of the book Oblique Derivative Problems for Elliptic Equations by Kai-Wen Lan
Cover of the book Corporate Policies in a World with Information Asymmetry by Kai-Wen Lan
Cover of the book Synthesis and Applications of Optically Active Nanomaterials by Kai-Wen Lan
Cover of the book The Tommy Koh Reader by Kai-Wen Lan
Cover of the book The Scientist and the Forger by Kai-Wen Lan
Cover of the book Transformation Groups and Lie Algebras by Kai-Wen Lan
Cover of the book Inequalities in Analysis and Probability by Kai-Wen Lan
Cover of the book Benoit Mandelbrot by Kai-Wen Lan
Cover of the book Handbook of Biomimetics and Bioinspiration by Kai-Wen Lan
Cover of the book China and the Group 20 by Kai-Wen Lan
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy