To the IUM main page

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]

---