Name and Position. Solid State Physics superconductivity strong correlated systems. Hurwitz numbers Hurwitz spaces modules of curves.

Representation of toroidal algebras combinatorics of plain partitions. Topology of complex algebraic varieties configuration spaces discriminant complements moduli spaces Hodge theory low-dimensional topology geometric structures on manifolds.

Ergodic theory of group actions asymptotics of time averages for translation flows and similar systems. Metric Geometry Differential Geometry geometric group theory. Stanley--Reisner rings Polytope theory toric topology. Algebraic geometry of projective varieties.

Spectral geometry Integrable systems differential equations. Locally convex topological algebras Locally convex topological modules Homological algebra in categories of topological modules homological dimensions Hochschild co homology of topological algebras topological algebras in non-commutative geometry and quantum groups theory. Discrete subgroups of Lie groups reflection groups hyperbolic geometry.

Fokker-Planck-Kolmogorov equations non-linear equations for measures diffusion processes stochastic partial differential equations. Integrable systems conformal field theories KP hierarchy solvable lattice models Toda lattice hierarchy. Riemann-Hilbert problem isomonodromic deformations irregular singularities of linear differential equations Painleve equations Differential Galois theory.

General topology set theory methodology of mathematics education work with mathematically gifted secondary school students mathematical statistics pedagogical measurement. Website templates are designed by Art. All activities of The Fields Institute are subject to availability of funds. Akbulut, G.

Mikhalkin, O. Beirstone, P. Khovanskii, A. Eliashberg, B. Macintyre, D. Nabutovsky Fewnomials A. Khovanskii Resolution of singularities E.

Bierstone or P. Ilyasmenko from Moscow Dates: January 20 - February 9, Following is a description of the topics: Regular and irregular singular points of linear differential equations. Classical Stokes phenomena. Nonlinear Stokes phenomena. Ecalle-Voronin moduli.

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Phragmen-Lindelof theorem for functional cochains. Galois groups and Stokes operators. Complex saddlenodes: analysis and topology. Desingularization theorem for vector fields.

Topological classifiacation of germs of real planar vector fields. Order of topologically sufficient jet.