
THE
FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES 
November
2428, 2014
Conference
Legacy of Vladimir Arnold
at
Fields Institute, 222 College St., Toronto


Local
Organization
Committee
M. Boyko, I. Gorbovickis, L. Kadets,
B. Khesin, A. Khovanskii, J. Mracek,
S. Tabachnikov, V.Vladimirov


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



Monday November 24, 2014. 
9:009:30am 
OnSite Registration 
9:359:45am 
Introduction 
9:4510:15am 
D. Fuchs (UC Davis)
Cohomology of Lie algebra of Hamiltonian vector fields: experimental
data, conjectures, and theorems 
10:1510:45am 
Coffee Break 
10:4511:15am 
Yu. Ilyashenko (Cornell University/IUM)
Rotation numbers and moduli of elliptic curves 
11:3012:00pm 
J.R. Bond (CITA, University of Toronto)
and S. Shandarin (University of Kansas)
ZeldovichArnold's theory of the cosmic web 
12:002:00pm 
Lunch Break 
2:002:30pm 
V. Kaloshin (University of Maryland)
On Arnold diffusion for convex Hamiltonians

2:453:15pm 
Y. Karshon (University of Toronto)
Lie groupoids for space robots 
3:153:45pm 
Coffee Break 
3:454:15pm 
O. Bogoyavlenskij (Queen's University)
A family of solutions to the Arnold's problem on the nondegenerate
integrability 
4:305:00pm 
K. Khanin (University of Toronto)
From linearization to rigidity theory 
5:007:00pm 
Reception (cash bar) 
Tuesday November 25, 2014. 
9:009:30am 
S. Chmutov (Ohio State University)
Partial duality of hypermaps 
9:4510:15am 
V. Goryunov (University of
Liverpool)
Local invariants of maps between 3manifolds 
10:1510:45am 
Coffee Break 
10:4511:15am 
L. Jeffrey (University of Toronto)
Kirwan surjectivity for hyperkähler manifolds 
11:3012:00pm 
K. Moffatt (University of Cambridge)
Relaxation under topological constraints and the breaking of
these constraints 
12:002:00pm 
Lunch Break 
2:002:30pm 
I. Scherbak (TelAviv University)
Linear ODEs from an algebraic point of view 
2:453:15pm 
G. Misiolek (University of Notre Dame)
The MorseLittauer theorem in hydrodynamics 
3:153:45pm 
Coffee Break 
3:454:15pm 
V. Dragovic (University of Texas, Dallas)
Algebrogeometric approach to the Schlesinger equations and
the Poncelet polygons 
4:305:00pm 
W. Craig (Fields Institute/ McMaster University)
Vortex filament dynamics 
7:009:00pm 
G. Domokos (Budapest Univ.
of Technology and Economics),
D. BarNatan (University of Toronto)
HighSchool Student Session Talks 
Wednesday November 26, 2014. 
9:009:30am 
P. Etingof (MIT)
Poisson homology, Dmodules on Poisson varieties, and complex
singularities 
9:4510:15am 
G. Domokos (Budapest Univ.
of Technology and Economics)
The Gömböc and the evolution of pebble shapes 
10:1510:45am 
Coffee Break 
10:4511:15am 
A. Givental (UC Berkeley)
Oscillating integrals in the mirror Ktheory 
11:3012:00pm 
S. GuseinZade (Moscow State University)
Some duality properties of invertible polynomials 
12:002:00pm 
Lunch Break 
2:002:45pm 
D. BarNatan (University of Toronto)
Dessert: Hilbert's 13th Problem, in full color 
2:454:00pm 
Coffee Break 
4:00pm 
Math Colloquium: C. Evans (UC Berkeley)
Convexity, nonlinear PDE and principal / agent problems 
Thursday November 27, 2014. 
9:0010:00am 
M. Shapiro (Michigan State University)
and A. Vainshtein (University of Haifa)
Cluster algebras and integrable systems 
10:0010:45am 
Coffee Break 
10:4511:15am 
M. Polyak (Technion)
From 3manifolds to planar graphs and cyclerooted trees 
11:3012:00pm 
S. Lando (University HSE, Moscow)
On graph invariants related to finite order knot invariants 
12:002:00pm 
Lunch Break 
2:002:30pm 
E. Ferrand (Université de Paris
6)
Remarks and questions about apparent contours, envelopes and
generating families 
2:453:15pm 
V. Ginzburg (UC Santa Cruz)
The motion of a charge in a magnetic field 
3:153:45pm 
Coffee Break 
3:454:15pm 
A. Vershik (Steklov Institute of Math.,
St. Petersburg)
Dynamics of metrics and scaling entropy of the group action

4:305:00pm 
O. Viro (Stony Brook University)
Head to tail compositions 
7:009:00pm 
Open Problem Session 
Friday November 28, 2014. 
9:009:30am 
V. Timorin (University HSE, Moscow)
On maps taking lines to plane curves 
9:4510:15am 
D. BarNatan (University of
Toronto)
Finite type invariants of doodles 
10:1510:45am 
Coffee Break 
10:4511:15am 
Ya. Eliashberg (Stanford University)
Construction and classification of contact structures 
11:3012:00pm 
A. Shnirelman (Concordia University)
Shooting problem for the 2d ideal incompressible fluid 
12:002:00pm 
Lunch Break 
2:002:45pm 
A. Gabrielov (Purdue University)
Classification of spherical quadrilaterals 
2:453:15pm 
V. Vladimirov (University of York, UK)
Arnold stability of timeoscillating flows 
3:153:45pm 
Coffee Break 
3:454:15pm 
A. Zorich (Université de Paris 7)
Lyapunov exponents of the Hodge bundle and diffusion in periodic
billiards 
4:305:00pm 
M. Kazarian (Steklov Institute of Math,
Moscow)
TBA 
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