Geometry, Analysis and Probability - In Honor of Jean-Michel Bismut

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.

List of contents

Geometric higher groupoids and categories.- Hodge type theorems for arithmetic hyperbolic.- The Ding functional, Berndtsson convexity and moment maps.- Dimers and curvature formulae.- The norm of the Weierstrass Section.- Smooth family Thom-Smale complexes.- higher Analytic Torsion Polylogarithms and norm compatible elements on Abelian Schemes.- Teichmuller theory for conic surfaces.- On the analytic torsion of hyperbolic manifolds of the finite volume.- Log-correlated Gaussian elds: an overview.- A variation formula for the determinant line bundle. Compact subspaces of moduli spaces of stable bundles over class VII surfaces.- K-stability implies CM-stability.- Simple renormalization flow for FK-Percolation models.- Analytic torsion for BORCEA-VOISIN threefolds.

Summary

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.

Product details

• Assisted by: Jean-Benoît Bost (Editor), Helmu Hofer (Editor), Helmut Hofer (Editor), François Labourie (Editor), François Labourie et al (Editor), Yves Le Jan (Editor), Xiaonan Ma (Editor), Weiping Zhang (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2018
• EAN: 9783319842059
• ISBN: 978-3-31-984205-9
• No. of pages: 361
• Dimensions: 155 mm x 237 mm x 21 mm
• Weight: 556 g
• Illustrations: VIII, 361 p. 5 illus., 1 illus. in color.
• Series: Progress in Mathematics; Progress in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Zahlentheorie, Stochastik, B, Wahrscheinlichkeitsrechnung und Statistik, Algebraische Geometrie, Mathematics and Statistics, Algebraic Geometry, Probability Theory and Stochastic Processes, Number Theory, Probability & statistics, Manifolds (Mathematics), Probabilities, Stochastics, Probability Theory, Global analysis (Mathematics), Global Analysis and Analysis on Manifolds, moduli spaces of stable bundles, renormalization flow for the FK-percolation models