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IUM10 conference: abstracts of some talks

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