Previous Special Year Seminar

Mar
21
2012

Working Group on Symplectic Dynamics

An Instability Mechanism Along the Mean Motion Resonances in the Restricted Three Body Problem
4:00pm|S-101

We consider the Restricted Planar Elliptic 3 Body Problem, which models the Sun, Jupiter and an Asteroid (which we assume that has negligible mass). We take a realistic value of the mass ratio between Jupiter and the Sun and their eccentricity...

Mar
21
2012

Symplectic Dynamics Seminar

Arnold Diffusion via Normally Hyperbolic Invariant Cylinders and Mather Variational Method, Part II
2:00pm|S-101

In 1964 Arnold constructed an example of instabilities for nearly integrable systems and conjectured that generically this phenomenon takes place. There has been big progress attacking this conjecture in the past decade. Jointly with Ke Zhang we...

Mar
08
2012

Introduction to Polyfolds

A Simple Example of an M-Polyfold Relevant to Morse Theory
2:00pm|S-101

Both of these talks will be useful preparation for Helmut Hofer's up coming mini-course on polyfold theory on April 4th and 5th.

Mar
08
2012

Introduction to Polyfolds

Introduction to Polyfolds
11:00am|S-101

Both of these talks will be useful preparation for Helmut Hofer's up coming mini-course on polyfold theory on April 4th and 5th

Mar
07
2012

Symplectic Dynamics Seminar

Arnold Diffusion via Normally Hyperbolic Invariant Cylinders and Mather Variational Method, Part I
2:00pm|West Bldg. Lecture Hall

In 1964 Arnold constructed an example of instabilities for nearly integrable systems and conjectured that generically this phenomenon takes place. There has been big progress attacking this conjecture in the past decade. Jointly with Ke Zhang we...

Feb
29
2012

Working Group on Symplectic Dynamics

A Simple Proof of the Conley Conjecture for Hamiltonian Diffeomorphisms C^1-Close to the Identity
Marco Mazzucchelli
4:00pm|S-101

The Conley conjecture, recently established by Nancy Hingston, asserts that every Hamiltonian diffeomorphism of a standard symplectic 2n-torus admits infinitely many periodic points. While this conjecture has been extended to more general closed...

Feb
29
2012

Symplectic Dynamics Seminar

Stein Structures: Existence and Flexibility
2:00pm|S-101

This is a series of 3 talks on the topology of Stein manifolds, based on work of Eliashberg since the early 1990ies. More specifically, I wish to explain to what extent Stein structures are flexible, i.e. obey an h-principle. After providing some...

Feb
22
2012

Working Group on Symplectic Dynamics

On Translated Points of Contactomorphisms
Sheila Margherita Sandon
4:00pm|S-101

The Arnold conjecture in Symplectic Topology states existence of many fixed points for Hamiltonian symplectomorphisms of a compact symplectic manifold. In my talk I will discuss an analogue of this conjecture in Contact Topology, based on the notion...