23.12.01 12:44 |
Программа конференции "Fundamental Mathematics Today" |
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PROGRAMME OF THE CONFERENCE
"Fundamental Mathematics Today"
dedicated to the Xth Anniversary of IUM ***)
December, 26, Wednesday
9.00--10.00: registration of participants
10.00--10.30: Opening speach of the President of IUM
PLENARY LECTURES
10.40--11.30: V.I.Arnold Astroidal geometry and hyperbolic polynomials
11.30--11.50: Coffee break
11.50--12.40: A.Vershik Metric classification of functions of several
arguments, random matrix and space of Polish spaces
12.50--13.40: L.D.Faddeev Problem of mass for the quantum Yang-Mills
theory: what is it
13.40--15.30: Lunch
15.30--16.20: I.Krichever Isospectral and isomondromy equations
on algebraic curves
SECTIONAL TALKS (see footnotes *, **)
______________________________________________________________________________
|Chairman |A:R.MacPherson| B: P.Deligne | C: A.Vershik | D: A.A.Belavin |
|____________|_____________|________________|_________________|________________|
|16.30-17.10 | Yu.Burman | A.Skorobogatov | M.Blank | S.Shlosman |
|____________|_____________|________________|_________________|________________|
|Coffee break |
|______________________________________________________________________________|
|17.30-18.10 | A.Skopenkov | F.L.Zak | W.Faris | A.Alexeevskii |
| | | | | S.Natanzon |
|____________|_____________|________________|_________________|________________|
|Coffee break |
|______________________________________________________________________________|
|18.30-19.10 | S.Duzhin | A.G.Khovanski | D.Kaledin | M.Shubin |
|____________|_____________|________________|_________________|________________|
*****************************************************************************
December, 27, Thursday
PLENARY LECTURES
10.00--10.50: R.MacPherson Intersection homology and torus actions
11.00--11.50: A.Bolibrukh Semistable Vector Bundles with Connections
and the Riemann-Hilbert Problem
11.50--12.20: Coffee break
12.20--13.10: P.Cartier Cosmos and atom : a revival of Hermann Weyl's
ideas about gauge invariance
13.10--15.00: Lunch
15.00--15.50: E.Vinberg The dual horospherical Radon transform
for polynomials
SECTIONAL TALKS
______________________________________________________________________________
|Chairman |A:R.MacPherson | B: P.Cartier |C: A.Vershik |D: A.A.Belavin |
|____________|_______________|_________________|_______________|_______________|
|16.00-16.40 | V.Timorin | M.Tsfasman | A.Eskin | A.A.Belavin |
| | | | A.Zorich | A.V.Odesskii |
| | | | | R.A.Usmanov |
|____________|_______________|_________________|_______________|_______________|
|Coffee break |
|______________________________________________________________________________|
|17.00-17.40 | J.-M.Kantor | V.Lunts | A.Panov | L.Chekhov |
|____________|_______________|_________________|_______________|_______________|
|Coffee break |
|______________________________________________________________________________|
|18.00-18.40 | O.Karpenkov | S.Arkhipov | A.Gorodetsky | A.Sergeev |
|____________|_______________|_________________|_______________|_______________|
|18.50-19.30 | S.Shadrin | A.Braverman | S.Maksimenko | V.Gordin |
|____________|___________ ___|_________________|_______________|_______________|
*****************************************************************************
December, 28, Friday
PLENARY LECTURES
10.00--10.50: V.Vassiljev Combinatorial formulas for cohomology
of spaces of knots
11.00--11.50: A.A.Kirillov Representations and orbits of triangular groups
11.50--12.20: Coffee break
12.20--13.10: V.M.Buchstaber Symmetric powers as algebraic variety
13.10--15.00: Lunch
15.00--15.50: V.Ginzburg Symplectic reflection algebras
SECTIONAL TALKS
______________________________________________________________________________
|Chairman |A: S.P.Novikov| B: P.Cartier | C: V.Vassiliev | D: L.D.Faddeev |
|____________|______________|_____________ |__________________|________________|
|16.00-16.40 | M.Kazarian | L.Katzarkov | S.Gusein-Zade |I.Shchepochkina |
|____________|______________|______________|__________________|________________|
|Coffee break |
|______________________________________________________________________________|
|17.00-17.40 | S.Lando | A.Khelemski | Yu. Ilyashenko | A.Rudakov |
|____________|______________|______________|__________________|________________|
|Coffee break |
|______________________________________________________________________________|
|18.00-18.40 | P.G.Grinevich|A.L.Gorodentsev| G.Olshanskii | O.Sheinman |
| | S.P.Novikov | | | |
|____________|______________|_______________|_________________|________________|
|18.50-19.30 | I.Dynnikov | M.Verbitsky | E.Polulyakh | S.Loktev |
|____________|______________|_______________|_________________|________________|
*****************************************************************************
December, 29, Saturday
PLENARY LECTURES
10.00--10.50: S.P.Novikov Discrete systems and integrabilty
11.00--11.50: P.Deligne Tensor Categories
11.50--12.20: Coffee break
12.20--13.10: A.Katok Nonuniform Hyperbolicity and Rigidity
13.10--15.00: Lunch
15.00--15.50: B.Dubrovin From integrable systems to Gromov - Witten
invariants
15.50--16.10: Coffee break
16.10--17.00: B.Feigin Vertex algebras and representations of
small quantum group
Celebrating of the forthcoming 70th birthday of N.N.Konstantinov
(precise time to be announced)
_____________________________________________________________________________
*) TITLES OF SECTIONAL TALKS
A.Alexeevskii, S.Natanzon
Klein topological field theory and Hurwitz numbers of complex and
real algebraic curves
S.Arkhipov
A geometric realization of the category of modules over the small
quantum group
A.A.Belavin, A.V.Odesskii, R.A.Usmanov
New relations in the algebra of the Baxter Q-operators
M.Blank Dynamical spectrum for random maps and Ulam conjecture
A.Braverman Singularities of loop schemes and automorphic L-functions
Yu.Burman Whitney index and Laplace integrals
L.Chekhov Commutative and noncommutative Teichmuller spaces
via graphs
S.V.Duzhin Decomposable skew-symmetric functions
I.Dynnikov TBA
A.Eskin, A.Zorich Billiards in rectangular polygons
W.Faris Ornstein-Uhlenbeck and renormalization semigroups
V.A. Gordin Eigen-value Functional Optimization in Mathematical
Physics and Stability Problems
A.L.Gorodentsev Abelian Lagrangian Algebraic Geometry and ALAG-quantization
A.Gorodetskii Stable nonhyperbolic properties of dynamical systems
and smooth realization of skew products
P.G.Grinevich, S.P.Novikov
Toplological charge of the finite-gap Sine-Gordon solutions
S.Gusein-Zade Indices of 1-forms on an isolated complete intersection
singularity.
Yu.Iljyashenko Centennial History of Hilbert's 16th problem
D.Kaledin Symplectic singularities in algebraic geometry
J.-M.Kantor Recent works on lattice polytopes
O.Karpenkov Energy of a knot: variational principles
L.Katzarkov Algebro Geometric methods in symplectic geometry
M.Kazarian Multisingularities and cobordisms
A.Khelemsky Wedderburn-type theorems for operator algebras:
traditional and "quantum" homological approaches.
A.G.Khovanski Parshin's symbols, toric geometry and product of the
roots of a system of equations
S.K.Lando The Hurwitz problem and the geometry of spaces
of meromorphic functions
S.Loktev Coinvariants of one-dimensional lattice VOAs
V.Lunts Motivic measures and stable birational geometry
(joint work with M. Larsen)
S.Maksimenko Smooth shifts along trajectories of flows
G.Olshanskii Gelfand--Tsetlin schemes, measures of hypergeometric type,
and point processes
A.Panov TBA
E.Polulyakh Dynamical systems which admit periodical decompositions
A.Rudakov Representations of infinitedimensional graded Lie
s-algebras with sl(3)timesаsl(2)timesаgl(1) as
the zero degree component
Shchepochkina, I. Classification of the real simple Lie superalgebras
of vector fields (joint work with Dimitry Leites)
A.G.Sergeev Seiberg--Witten equations and Abrikosov strings
S.Shadrin Topological classification of unitary functions
of arbitrary genus
O.K.Sheinman The second order casimirs for the affine
Krichever-Novikov algebras
S.B.Shlosman Convex envelope of the Wiener loop
M.A.Shubin Capacities in spectral theory of magnetic
Schroedinger operators
A. Skopenkov The Whitehead link, the Hudson-Habegger invariant and
classification of embeddings $S^1times S^3toR^7$
A.Skorobogatov Rational points on certain Kummer surfaces
V.Timorin Four dimensional geometry of circles
M.A.Tsfasman Asymptotic Properties of Global Fields
M.Verbitsky Proof of Mukai conjecture
F.L.Zak Order, rank, and class of projective algebraic varieties
**) LIST OF SECTIONS
A. Geometry & Topology
B. Algebra, Algebraic Geometry & Number Theory
C. Dynamical Systems & the Theory of Singularities
D. Mathematical Physics
***) The Conference is supported by the Russian Foundation for Basic
Research, European Mathematical Union, and Steklov Mathematical
Institute of the Russian Academy of Sciences
Московское Математическое Общество
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