Previous Conferences & Workshops

Oct

11

2011

Joint IAS/Princeton University Mathematical Physics Seminar

Absence of Mobility Edge for the Anderson Random Potential on Tree Graphs at Weak Disorder

4:30pm|Princeton University, A06 Jadwin Hall

We discuss recently established criteria for the formation of extended states on tree graphs in the presence of disorder. These criteria have the surprising implication that for bounded random potentials, as in the Anderson model, in the weak...

Oct

11

2011

Workshop on Symplectic Dynamics

Generic symplectic diffeomorphisms and partial hyperbolicity

Jairo Bochi

4:30pm|Wolfensohn Hall

I will talk about the following theorem: If $f$ is a $C^1$ generic symplectic diffeomorphism of a compact manifold then the Oseledets splitting along almost every orbit is partially hyperbolic or trivial; in addition, if $f$ is not Anosov then all...

Oct

11

2011

Workshop on Symplectic Dynamics

Resonance identities and closed characteristics on compact star-shaped hypersurfaces in R2n

Yiming Long

2:30pm|Wolfensohn Hall

Recently two new resonance identities on closed characteristics on every compact star-shaped hypersurface $\Sigma$ in $R^{2n}$ are proved, when the number of geometrically distinct closed characteristics on $\Sigma$ is finite. These identities...

Oct

11

2011

Workshop on Symplectic Dynamics

Action-index relations for Hamiltonian dynamical systems

Victor Ginzburg

11:30am|Wolfensohn Hall

In this talk we discuss Hamiltonian diffeomorphisms with finitely many periodic orbits. We show that, under suitable additional hypotheses on the ambient manifold, the actions and mean indexes of periodic orbits of such a diffeomorphism must satisfy...

Oct

11

2011

Computer Science/Discrete Mathematics Seminar II

Limit Theories and Higher Order Fourier Analysis

Balazs Szegedy

10:30am|S-101

We present a unified approach to various topics in mathematics including: Ergodic theory, graph limit theory, hypergraph regularity, and Higher order Fourier analysis. The main theme is that very large complicated structures can be treated as...

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...