Previous Conferences & Workshops

Oct
11
2011

Workshop on Symplectic Dynamics

On Kolmogorov’s conjecture and Hausdorff dimension of oscillatory motions for certain restricted three body problems
Vadim Kaloshin
10:15am|Wolfensohn Hall
Consider the classical Newtonian 3-body problem, namely, bodies are mutually attracted by the Newton graviation. Call motion oscillatory if as time tends to infinity limsup of maximal distance among the bodies is infinite, while liminf is finite. In...
Oct
11
2011

Workshop on Symplectic Dynamics

Convergence of discounted solutions of the Hamiltonian-Jacobi equation
Albert Fathi
9:00am|Wolfensohn Hall

This is a joint work with Renato Iturriaga.

We consider a Hamiltonian $H: \mathbf R^n \times \mathbf R \to \mathbf R, \ (x,p) \mapsto H(x,p)$ that is $Z^n$ periodic in the first variable $x$, and convex superlinear in the second variable $p$.

For $...

Oct
11
2011

Workshop on Symplectic Dynamics

Conservative homoclinic bifurcations and the structure of a stochastic sea of the standard map
Anton Gorodetski
9:00am|Wolfensohn Hall
Consider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show that for many parameters (residual subset in an open set approaching the critical value) the corresponding diffeomorphism has a...
Oct
10
2011

Workshop on Symplectic Dynamics

A symplectic proof of a theorem of Franks
Ely Kerman
4:30pm|Wolfensohn Hall
A celebrated theorem in two-dimensional dynamics due to John Franks asserts that every area preserving homeomorphism of the sphere has either two or infinitely many periodic points. In this talk I will describe a new Floer theoretic proof of this...
Oct
10
2011

Workshop on Symplectic Dynamics

Existence of transverse foliations to identity isotopies on surfaces and applications
Patrice Le Calvez
2:30pm|Wolfensohn Hall

Let $I= (f_t)_{t \in [0,1]}$ be an identity isotopy on an oriented surface $M$ and denote by $Cont(I)$ the set of points $z \in M$ whose trajectory $I(z)$ is a contractible loop of $M$. A recent result of Olivier Jaulent asserts that there exists an...

Oct
10
2011

Workshop on Symplectic Dynamics

The free surface water wave problem as a Hamiltonian system
Walter Craig
11:30am|Wolfensohn Hall
The Euler equations for the dynamics of a fluid domain with a free surface can be formulated as a Hamiltonian system in an infinite dimensional phase space. The Hamiltonian has been derived by Zakharov, and the Hamiltonian vector field evokes the...
Oct
10
2011

Computer Science/Discrete Mathematics Seminar I

A Little Advice Can Be Very Helpful
Arkadev Chattopadhyay
11:15am|S-101

Proving superpolylogarithmic lower bounds for dynamic data structures has remained an open problem despite years of research. Recently, Patrascu proposed an exciting new approach for breaking this barrier via a two player communication model in...

Oct
10
2011

Workshop on Symplectic Dynamics

Symplectic invariants – some progress and some problems
Dusa McDuff
10:00am|Wolfensohn Hall
This talk will describe some symplectic invariants and discuss recent progress in understanding them, probably mostly concentrating on questions of symplectic embeddings.
Oct
10
2011

Workshop on Symplectic Dynamics

12:00am

This workshop was part of the topical program "Symplectic Dynamics" which took place during the academic year 2011-2012 at the Institute for Advanced Study.

Besides considering a wide range of topics in dynamical systems the workshop intended to...