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THE
FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES |
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November
24-28, 2014
Conference
Legacy of Vladimir Arnold
at
Fields Institute, 222 College St., Toronto
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Local
Organization
Committee
M. Boyko, I. Gorbovickis, L. Kadets,
B. Khesin, A. Khovanskii, J. Mracek,
S. Tabachnikov, V.Vladimirov
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Scientific Committee
E. Bierstone (Toronto), H. Hofer (IAS), B. Khesin (Toronto),
A. Khovanskii (Toronto), S.Tabachnikov (Penn State and ICERM),
A. Varchenko (North Carolina)
OVERVIEW
Vladimir Igorevich Arnold, 1937–2010, was one of the
greatest mathematicians of the 20th century. He has made
fundamental contributions to numerous fields of mathematics,
including dynamical systems, classical mechanics, singularity
theory, algebraic geometry, topology and catastrophe theory.
In 1957, at the age of 19, Arnold, together with his teacher
A. N. Kolmogorov, solved Hilbert’s 13th problem on
representation of continuous functions. The results contained
in his doctoral thesis “Small denominators and stability
problems in classical and celestial mechanics” became
one of the cornerstones of the famous KAM theory, named
after its creators Kolmogorov, Arnold, and Moser. Arnold's
monographs “Mathematical Methods of Classical Mechanics”
and “Ordinary Differential Equations” became classical
university textbooks.
The conference "Legacy of Vladimir Arnold" to
be held at the Fields Institute will celebrate the work
and life of this distinguished mathematician and remarkable
human being. In addition to research talks, it will host
an evening session for high school students on Tuesday,
November 25 and an evening round table devoted to open problems
on Thursday, November 27.
Arnold's 60th anniversary conference, ArnoldFest,
was held at the Fields Institute in 1997.
Proceeding of the conference will be published in the "Arnold
mathematical journal", a recently established journal
based in the Stony Brook University, covering a broad range
of mathematical domains. Deadline for submission: November
28, 2014.
Speaker Abstracts
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| Monday November 24, 2014. |
| 9:00-9:30am |
On-Site Registration |
| 9:35-9:45am |
Introduction |
| 9:45-10:15am |
Dmitry Fuchs (UC Davis)
Cohomology of Lie algebra of Hamiltonian vector fields: experimental
data, conjectures, and theorems (Slides) |
| 10:15-10:45am |
Coffee Break |
| 10:45-11:15am |
Yulij Ilyashenko (Cornell University/IUM)
Rotation numbers and moduli of elliptic curves |
| 11:30-12:00pm |
J. Richard Bond (CITA, University of
Toronto) and S. Shandarin (University of Kansas)
Zeldovich-Arnold's theory of the cosmic web |
| 12:00-2:00pm |
Lunch Break |
| 2:00-2:30pm |
Vadim Kaloshin (University of Maryland)
On Arnold diffusion for convex Hamiltonians (Slides)
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| 2:45-3:15pm |
Yael Karshon (University of Toronto)
Lie groupoids for space robots (Slides) |
| 3:15-3:45pm |
Coffee Break |
| 3:45-4:15pm |
Oleg Bogoyavlenskij (Queen's University)
A family of solutions to the Arnold's problem on the non-degenerate
integrability |
| 4:30-5:00pm |
Konstantin Khanin (University of Toronto)
From linearization to rigidity theory |
| 5:00-7:00pm |
Reception (cash bar) |
| Tuesday November 25, 2014. |
| 9:00-9:30am |
Sergei Chmutov (Ohio State University)
Partial duality of hypermaps (Slides) |
| 9:45-10:15am |
Victor Goryunov (University of Liverpool)
Local invariants of maps between 3-manifolds (Slides) |
| 10:15-10:45am |
Coffee Break |
| 10:45-11:15am |
Lisa Jeffrey (University of Toronto)
Kirwan surjectivity for hyperkähler manifolds (Slides)
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| 11:30-12:00pm |
Keith Moffatt (University of Cambridge)
Relaxation under topological constraints and the breaking of
these constraints |
| 12:00-2:00pm |
Lunch Break |
| 2:00-2:30pm |
Inna Scherbak (Tel-Aviv University)
Linear ODEs from an algebraic point of view (Slides) |
| 2:45-3:15pm |
Gerard Misiolek (University of Notre Dame)
The Morse-Littauer theorem in hydrodynamics |
| 3:15-3:45pm |
Coffee Break |
| 3:45-4:15pm |
Vladimir Dragovic (University of Texas, Dallas)
Algebro-geometric approach to the Schlesinger equations and
the Poncelet polygons (Slides) |
| 4:30-5:00pm |
Walter Craig (Fields Institute/ McMaster University)
Vortex filament dynamics (Slides) |
| 7:00-9:00pm |
High-School Student Session Talks
Gabor Domokos (Budapest Univ. of Technology and Economics)
Story of the Gömböc
Dror Bar-Natan (University of Toronto)
On Maps, Machines and Roaches
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| Wednesday November 26, 2014. |
| 9:00-9:30am |
Pavel Etingof (MIT)
Poisson homology, D-modules on Poisson varieties, and complex singularities
(Slides) |
| 9:45-10:15am |
Gabor Domokos (Budapest Univ. of Technology
and Economics)
The Gömböc and the evolution of pebble shapes |
| 10:15-10:45am |
Coffee Break |
| 10:45-11:15am |
Alexander Givental (UC Berkeley)
Oscillating integrals in the mirror K-theory |
| 11:30-12:00pm |
Sabir Gusein-Zade (Moscow State University)
Some duality properties of invertible polynomials |
| 12:00-2:00pm |
Lunch Break |
| 2:00-2:45pm |
Dror Bar-Natan (University of Toronto)
Dessert: Hilbert's 13th Problem, in full color |
| 2:45-4:00pm |
Coffee Break |
4:00pm
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Math Colloquium: Lawrence Craig
Evans (UC Berkeley)
Convexity, nonlinear PDE and principal / agent problems
Location:
BA6183, Bahen Center, 40 St. George St.
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| Thursday November 27, 2014. |
| 9:00-10:00am |
Michael Shapiro (Michigan State University) and
Alexander Vainshtein (University of Haifa)
Cluster algebras and integrable systems |
| 10:00-10:45am |
Coffee Break |
| 10:45-11:15am |
Michael Polyak (Technion)
From 3-manifolds to planar graphs and cycle-rooted trees (Slides) |
| 11:30-12:00pm |
Sergei Lando (University HSE, Moscow)
On graph invariants related to finite order knot invariants |
| 12:00-2:00pm |
Lunch Break |
| 2:00-2:30pm |
Emmanuel Ferrand (Université de Paris 6)
Remarks and questions about apparent contours, envelopes and
generating families |
| 2:45-3:15pm |
Victor Ginzburg (UC Santa Cruz)
The motion of a charge in a magnetic field |
| 3:15-3:45pm |
Coffee Break |
| 3:45-4:15pm |
Anatoly Vershik (Steklov Institute of Math., St.
Petersburg)
Dynamics of metrics and scaling entropy of the group action
(Slides) |
| 4:30-5:00pm |
Oleg Viro (Stony Brook University)
Head to tail compositions (Slides) |
| 7:00-9:00pm |
Open Problem Session |
| Friday November 28, 2014. |
| 9:00-9:30am |
Vladlen Timorin (University HSE, Moscow)
On maps taking lines to plane curves (Slides) |
| 9:45-10:15am |
Dror Bar-Natan (University of Toronto)
Finite type invariants of doodles |
| 10:15-10:45am |
Coffee Break |
| 10:45-11:15am |
Yakov Eliashberg (Stanford University)
Construction and classification of contact structures |
| 11:30-12:00pm |
Alexander Shnirelman (Concordia University)
Shooting problem for the 2-d ideal incompressible fluid |
| 12:00-2:00pm |
Lunch Break |
| 2:00-2:45pm |
Andrei Gabrielov (Purdue University)
Classification of spherical quadrilaterals (Slides) |
| 2:45-3:15pm |
Vladimir Vladimirov (University of York, UK)
Arnold stability of time-oscillating flows (Slides) |
| 3:15-3:45pm |
Coffee Break |
| 3:45-4:15pm |
Anton Zorich (Université de Paris 7)
Lyapunov exponents of the Hodge bundle and diffusion in periodic
billiards(Slides) |
| 4:30-5:00pm |
Maxim Kazarian (Steklov Institute of Math, Moscow)
On Salmon's enumeration of tangential singularities |
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