Analyse géométrique Calculus of variations and optimal control; optimization Classical differential geometry Conformal differential geometry Determinants and determinant bundles, analytic torsion Differential geometry Elliptic equations on manifolds, general theory Functional analysis Geometric analysis Geometric probability and stochastic geometry Global analysis, analysis on manifolds Linear function spaces and their duals Partial differential equations on manifolds; differential operators Probability theory and stochastic processes Pseudodifferential and Fourier integral operators on manifolds Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems Spectral problems; spectral geometry; scattering theory Spectrum analysis Variational methods for eigenvalues of operators