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IUM10 conference: abstracts of some talks

International Conference "FUNDAMENTAL MATHEMATICS TODAY"

Abstracts and titles of some talks

A.Alexeevski, S.Natanzon: Klien topological field theory and Hurwitz numbers of complex and real algebraic curves
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S.Arkhipov: A geometric realization of the category of modules over the small quantum group
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V.I.Arnold: Astroidal geometry and hyperbolic polynomials
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Serguei Barannikov: Semi-infinite variations of Hodge structures and integrable hierarchies
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A.A.Belavin, A.V.Odesskii, R.A.Usmanov: New relations in the algebra of the Baxter Q-operators
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Michael Blank: Dynamical spectrum for random maps and Ulam conjecture
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A.A.Bolibrukh: Semistable Vector Bundles with Connections and the Riemann-Hilbert Problem
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Alexander Braverman: Singularities of loop schemes and automorphic L-functions
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Victor M. Buchstaber: Symmetric powers as algebraic variety
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Alexander I. Bufetov: Markov operators and ergodic theorems for actions of free groups
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Yurii M. Burman: Whitney's index formula and Laplace integrals
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Leonid Chekhov: Commutative and noncommutative Teichmuller spaces via graphs
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P.Deligne: Tensor Categories
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Boris Dubrovin: From integrable systems to Gromov - Witten invariants
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S.V.Duzhin: Decomposable skew-symmetric functions
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A.Eskin, A.Zorich: Billiards in rectangular polygons
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L.D.Faddeev: Problem of mass for the quantum Yang-Mills theory: what is it
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W.Faris: Ornstein-Uhlenbeck and renormalization semigroups
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Vladimir A. Gordin: Eigen-value Functional Optimization in Mathematical Physics and Stability Problems
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A.L.Gorodentsev: Abelian Lagrangian Algebraic Geometry and ALAG-quantization
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P.G.Grinevich, S.P.Novikov: Toplological charge of the finite-gap Sine-Gordon solutions
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V.Ginzburg: Symplectic reflection algebras
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S.Gussein-Zade: Indices of 1-forms on an isolated complete intersection singularity
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A.Helemsky: Wedderburn-type theorems for operator algebras: traditional and "quantum" homological approaches.
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Yu.Ilyashenko: Centennial History of Hilbert's 16th problem
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Dmitry Kaledin: Symplectic singularities in algebraic geometry
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J.-M.Kantor: Recent works on lattice polytopes
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O.Karpenkov: Energy of a knot: variational principles
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Anatole Katok: Nonuniform hyperbolicity and rigidity
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L.Katzarkov: Algebro Geometric methods in symplectic geometry
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Maxim Kazarian: Multisingularities and cobordisms
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Konstantin Khanin: Rigidity in one-dimensional dynamics
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A.Khovanskii: Parshin's symbols, toric geometry and product of the roots of a system of equations
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A.A.Kirillov: Representations and orbits of triangular groups
[Text (in transliterated Russian)]
Igor Krichever: Isospectral and isomondromy equations on algebraic curves
S.K.Lando: The Hurwitz problem and the geometry of spaces of meromorphic functions
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S.Loktev: Coinvariants of one-dimensional lattice VOAs
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Valery Lunts: Motivic measures and stable birational geometry (joint work with M. Larsen)
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R.MacPherson: Intersection homology and torus actions
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S.Maksimenko: Smooth shifts along trajectories of flows
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Sergey P.Novikov: Discrete systems and integrabilty
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Grigori Olshanski: Gelfand--Tsetlin schemes, measures of hypergeometric type, and point processes
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Eugene Polulyakh: Dynamical systems which admit periodical decompositions
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A.Rudakov: Representations of infinitedimensional graded Lie s-algebras with sl(3)\times sl(2)\times gl(1) as the zero degree component
[Text]
A.G.Sergeev: Seiberg--Witten equations and Abrikosov strings
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Irina Shchepochkina (joint work with Dimitry Leites): Classification of the real simple Lie superalgebras of vector fields
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S.Shadrin (a joint work with S. M. Natanzon): Topological classification of unitary functions of arbitrary genus
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O.K.Sheinman: The second order casimirs for the affine Krichever-Novikov algebras $\widehat{\frak gl}_{g,2}$ and $\widehat{\frak sl}_{g,2}$
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S.B.Shlosman: Convex envelope of the Wiener loop
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M.Shubin: Capacities in spectral theory of magnetic Schrödinger operators
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A.Skopenkov: The Whitehead link, the Hudson-Habegger invariant and classification of embeddings $S^1\times S^3\to\R^7$
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Alexei Skorobogatov: Rational points on certain Kummer surfaces
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V.Timorin: Four dimensional geometry of circles.
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M.A.Tsfasman: Asymptotic Properties of Global Fields
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V.A.Vassiliev: Combinatorial formulas for cohomology of spaces of knots
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Misha Verbitsky: Proof of Mukai conjecture
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A.M.Vershik: Metric classification of functions of several arguments, random matrix and space of Polish spaces
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E.B.Vinberg: The dual horospherical Radon transform for polynomials
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F.L.Zak: Order, rank, and class of projective algebraic varieties
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