Synopsis
Stochastic analysis, groups of diffemorphisms and lagrangian description of viscous incompressible fluid.- From topological homology: algebras with different properties of homological triviality.- Duality in stable spencer cohomologies.- On some problems of computational geometry and topology.- to Maslov's operational method (non-commutative analysis and differential equations).- The problem of realization of homology classes from Poincare up to the present.- Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions.- Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem.- Finitely smooth normal forms of vector fields in the vicinity of a rest point.- Generalized degree of multi-valued mappings.- On fredholmian aspects of linear transmission problems.- Stationary solutions of nonlinear stochastic equations.- Continuation of solutions to elliptic equations and localization of singularities.- Properness of nonlinear elliptic differential operators in Hölder spaces.
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