
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 
Dmitry Fuchs (UC Davis)
Cohomology of Lie algebra of Hamiltonian vector fields: experimental
data, conjectures, and theorems 
10:1510:45am 
Coffee Break 
10:4511:15am 
Yulij Ilyashenko (Cornell University/IUM)
Rotation numbers and moduli of elliptic curves 
11:3012:00pm 
J. Richard 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 
Vadim Kaloshin (University of Maryland)
On Arnold diffusion for convex Hamiltonians

2:453:15pm 
Yael Karshon (University of Toronto)
Lie groupoids for space robots 
3:153:45pm 
Coffee Break 
3:454:15pm 
Oleg Bogoyavlenskij (Queen's University)
A family of solutions to the Arnold's problem on the nondegenerate
integrability 
4:305:00pm 
Konstantin Khanin (University of Toronto)
From linearization to rigidity theory 
5:007:00pm 
Reception (cash bar) 
Tuesday November 25, 2014. 
9:009:30am 
Sergei Chmutov (Ohio State University)
Partial duality of hypermaps 
9:4510:15am 
Victor Goryunov (University of Liverpool)
Local invariants of maps between 3manifolds 
10:1510:45am 
Coffee Break 
10:4511:15am 
Lisa Jeffrey (University of Toronto)
Kirwan surjectivity for hyperkähler manifolds (Slides) 
11:3012:00pm 
Keith Moffatt (University of Cambridge)
Relaxation under topological constraints and the breaking of
these constraints 
12:002:00pm 
Lunch Break 
2:002:30pm 
Inna Scherbak (TelAviv University)
Linear ODEs from an algebraic point of view 
2:453:15pm 
Gerard Misiolek (University of Notre Dame)
The MorseLittauer theorem in hydrodynamics 
3:153:45pm 
Coffee Break 
3:454:15pm 
Vladimir Dragovic (University of Texas, Dallas)
Algebrogeometric approach to the Schlesinger equations and
the Poncelet polygons 
4:305:00pm 
Walter Craig (Fields Institute/ McMaster University)
Vortex filament dynamics 
7:009:00pm 
HighSchool Student Session Talks
Gabor Domokos (Budapest Univ. of Technology and Economics)
Story of the Gömböc
Dror BarNatan (University of Toronto)
On Maps, Machines and Roaches

Wednesday November 26, 2014. 
9:009:30am 
Pavel Etingof (MIT)
Poisson homology, Dmodules on Poisson varieties, and complex
singularities 
9:4510:15am 
Gabor Domokos (Budapest Univ. of Technology
and Economics)
The Gömböc and the evolution of pebble shapes 
10:1510:45am 
Coffee Break 
10:4511:15am 
Alexander Givental (UC Berkeley)
Oscillating integrals in the mirror Ktheory 
11:3012:00pm 
Sabir GuseinZade (Moscow State University)
Some duality properties of invertible polynomials 
12:002:00pm 
Lunch Break 
2:002:45pm 
Dror BarNatan (University of Toronto)
Dessert: Hilbert's 13th Problem, in full color 
2:454:00pm 
Coffee Break 
4:00pm

Math Colloquium: Lawrence Craig
Evans (UC Berkeley)
Convexity, nonlinear PDE and principal / agent problems
Location:
BA6183, Bahen Center, 40 St. George St.

Thursday November 27, 2014. 
9:0010:00am 
Michael Shapiro (Michigan State University) and
Alexander Vainshtein (University of Haifa)
Cluster algebras and integrable systems 
10:0010:45am 
Coffee Break 
10:4511:15am 
Michael Polyak (Technion)
From 3manifolds to planar graphs and cyclerooted trees 
11:3012:00pm 
Sergei Lando (University HSE, Moscow)
On graph invariants related to finite order knot invariants 
12:002:00pm 
Lunch Break 
2:002:30pm 
Emmanuel Ferrand (Université de Paris 6)
Remarks and questions about apparent contours, envelopes and
generating families 
2:453:15pm 
Victor Ginzburg (UC Santa Cruz)
The motion of a charge in a magnetic field 
3:153:45pm 
Coffee Break 
3:454:15pm 
Anatoly Vershik (Steklov Institute of Math., St.
Petersburg)
Dynamics of metrics and scaling entropy of the group action

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

