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.
S. K. Donaldson
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.