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

by Jean-Benoît Bost (Editor), Helmut Hofer (Editor), François Labourie (Editor), Yves Le Jan (Editor), Xiaonan Ma (Editor)

Overview

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

ISBN-13:	9783319496368
Publisher:	Springer International Publishing
Publication date:	05/25/2017
Series:	Progress in Mathematics , #310
Edition description:	1st ed. 2017
Pages:	361
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table 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.- Teichmüller 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.