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  • © 2017

Geometry, Analysis and Probability

In Honor of Jean-Michel Bismut

Birkhäuser

Editors:

(view affiliations)
  • Contains contributions by some of the foremost experts in probability and geometry

  • Explains the most recent advances in these subjects with very careful writing

  • Provides original research articles of Jean-Michel Bismut

Part of the book series: Progress in Mathematics (PM, volume 310)

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eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-49638-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 139.99
Price excludes VAT (USA)
Hardcover Book
USD 139.99
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Table of contents (13 chapters)

  1. Front Matter

    Pages i-viii
  2. Geometric Higher Groupoids and Categories

    • Kai Behrend, Ezra Getzler
    Pages 1-45
  3. Hodge Type Theorems for Arithmetic Hyperbolic Manifolds

    • Nicolas Bergeron, John Millson, Colette Moeglin
    Pages 47-56
  4. Dimers and Curvature Formulae

    • Julien Dubédat
    Pages 69-87
  5. The Norm of the Weierstrass Section

    • Gerd Faltings
    Pages 89-98
  6. Teichmüller Theory for Conic Surfaces

    • Rafe Mazzeo, Hartmut Weiss
    Pages 127-164
  7. Log-correlated Gaussian Fields: An Overview

    • Bertrand Duplantier, Rémi Rhodes, Scott Sheffield, Vincent Vargas
    Pages 191-216
  8. K-stability Implies CM-stability

    • Gang Tian
    Pages 245-261
  9. Analytic Torsion for Borcea–Voisin Threefolds

    • Ken-Ichi Yoshikawa
    Pages 279-361

About this book

This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry.

Contributions by:

K. Behrend

N. Bergeron

S. K. Donaldson

J. Dubédat

B. Duplantier

G. Faltings

E. Getzler

G. Kings

R. Mazzeo

J. Millson

C. Moeglin

W. Müller

R. Rhodes

D. Rössler

S. Sheffield

A. Teleman

G. Tian

K-I. Yoshikawa

H. Weiss

W. Werner 


The collection is a valuable resource for graduate students and researchers in these fields.

Keywords

  • groupoids and higher categories
  • arithmetic hyperbolic manifolds
  • Kähler-Einstein metrics
  • K-stability
  • moment map
  • determinant line bundle
  • analytic torsion
  • Weierstrass divisors
  • polylogarithm on abelian schemes
  • Teichmüller theory
  • log-correlated Gaussian field
  • moduli spaces of stable bundles
  • renormalization flow for the FK-percolation models

Editors and Affiliations

  • Département de Mathématiques, Université Paris-Sud, Orsay, France

    Jean-Benoît Bost, Yves Le Jan

  • Institute for Advanced Study School of Mathematics, Princeton, USA

    Helmut Hofer

  • Laboratoire Jean-Alexandre Dieudonné, Université Côte d’Azur, Nice, France

    François Labourie

  • Université Paris Diderot UFR de Mathématiques, Paris Cedex, France

    Xiaonan Ma

  • Chern Institute of Mathematics, Nankai University, Tianjin, China

    Weiping Zhang

Bibliographic Information

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-49638-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 139.99
Price excludes VAT (USA)
Hardcover Book
USD 139.99
Price excludes VAT (USA)