Editors:
(view affiliations)
- 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
Table of contents (13 chapters)
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Front Matter
Pages i-viii
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- Kai Behrend, Ezra Getzler
Pages 1-45
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- Nicolas Bergeron, John Millson, Colette Moeglin
Pages 47-56
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- Guido Kings, Damian Rössler
Pages 99-126
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- Rafe Mazzeo, Hartmut Weiss
Pages 127-164
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- Bertrand Duplantier, Rémi Rhodes, Scott Sheffield, Vincent Vargas
Pages 191-216
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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