Geometry, Analysis and Probability

In Honor of Jean-Michel Bismut

Jean-Benoît Bost, Helmut Hofer, François Labourie, Yves Le Jan, Xiaonan Ma, Weiping Zhang (Herausgeber)

Buch | Hardcover

VIII, 361 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-49636-8 (ISBN)

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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.

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.

Erscheinungsdatum	28.04.2017
Reihe/Serie	Progress in Mathematics
Zusatzinfo	VIII, 361 p. 5 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Algebraic Geometry • analytic torsion • arithmetic hyperbolic manifolds • determinant line bundle • Global Analysis and Analysis on Manifolds • groupoids and higher categories • Kähler-Einstein metrics • K-stability • log-correlated Gaussian field • Mathematics • mathematics and statistics • moduli spaces of stable bundles • moment map • Number Theory • Numerical analysis • polylogarithm on abelian schemes • probability and statistics • Probability theory and stochastic processes • renormalization flow for the FK-percolation models • stochastics • Teichmüller theory • Weierstrass divisors
ISBN-10	3-319-49636-0 / 3319496360
ISBN-13	978-3-319-49636-8 / 9783319496368
Zustand	Neuware