Beschreibung:
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. BehrendN. Bergeron S. K. DonaldsonJ. DubédatB. DuplantierG. FaltingsE. GetzlerG. KingsR. MazzeoJ. MillsonC. MoeglinW. MüllerR. RhodesD. RösslerS. SheffieldA. TelemanG. TianK-I. YoshikawaH. WeissW. WernerThe collection is a valuable resource for graduate students and researchers in these fields.
Contains contributions by some of the foremost experts in probability and geometry
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.