Overview
- 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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Table of contents (13 chapters)
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
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. DonaldsonJ. Dubédat
B. Duplantier
G. Faltings
E. Getzler
G. Kings
R. MazzeoJ. 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.
Editors and Affiliations
Bibliographic Information
Book Title: Geometry, Analysis and Probability
Book Subtitle: In Honor of Jean-Michel Bismut
Editors: Jean-Benoît Bost, Helmut Hofer, François Labourie, Yves Le Jan, Xiaonan Ma, Weiping Zhang
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-319-49638-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-49636-8Published: 27 April 2017
Softcover ISBN: 978-3-319-84205-9Published: 20 July 2018
eBook ISBN: 978-3-319-49638-2Published: 26 April 2017
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: VIII, 361
Number of Illustrations: 4 b/w illustrations, 1 illustrations in colour
Topics: Global Analysis and Analysis on Manifolds, Algebraic Geometry, Probability Theory and Stochastic Processes, Number Theory