© 2017

Geometry, Analysis and Probability

In Honor of Jean-Michel Bismut

  • Jean-Benoît Bost
  • Helmut Hofer
  • François Labourie
  • Yves Le Jan
  • Xiaonan Ma
  • Weiping Zhang


  • 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 Progress in Mathematics book series (PM, volume 310)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Kai Behrend, Ezra Getzler
    Pages 1-45
  3. Nicolas Bergeron, John Millson, Colette Moeglin
    Pages 47-56
  4. Julien Dubédat
    Pages 69-87
  5. Gerd Faltings
    Pages 89-98
  6. Rafe Mazzeo, Hartmut Weiss
    Pages 127-164
  7. Bertrand Duplantier, Rémi Rhodes, Scott Sheffield, Vincent Vargas
    Pages 191-216
  8. Gang Tian
    Pages 245-261
  9. 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.


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

  • Jean-Benoît Bost
    • 1
  • Helmut Hofer
    • 2
  • François Labourie
    • 3
  • Yves Le Jan
    • 4
  • Xiaonan Ma
    • 5
  • Weiping Zhang
    • 6
  1. 1.Département de MathématiquesUniversité Paris-SudOrsayFrance
  2. 2.Institute for Advanced Study School of MathematicsPrincetonUSA
  3. 3.Laboratoire Jean-Alexandre DieudonnéUniversité Côte d’AzurNiceFrance
  4. 4.Département de MathématiquesUniversité Paris-SudOrsayFrance
  5. 5.Université Paris Diderot UFR de MathématiquesParis CedexFrance
  6. 6.Chern Institute of MathematicsNankai UniversityTianjinChina

Bibliographic information