1.

Record Nr.

UNINA9910254293403321

Titolo

Geometry, Analysis and Probability : In Honor of Jean-Michel Bismut / / edited by Jean-Benoît Bost, Helmut Hofer, François Labourie, Yves Le Jan, Xiaonan Ma, Weiping Zhang

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017

ISBN

3-319-49638-7

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (VIII, 361 p. 5 illus., 1 illus. in color.)

Collana

Progress in Mathematics, , 0743-1643 ; ; 310

Disciplina

530.156

Soggetti

Global analysis (Mathematics)

Manifolds (Mathematics)

Algebraic geometry

Probabilities

Number theory

Global Analysis and Analysis on Manifolds

Algebraic Geometry

Probability Theory and Stochastic Processes

Number Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.