Extremal Length Geometry Seminar

Organized by Fred Gardiner (frederick.gardiner@gmail.com)
with Yunping Jiang and Linda Keen

Department of Mathematics

CUNY Graduate Center

Fall of 2013 Schedule

Wednesday, 3:30pm-4:55pm (__Math Thesis Room, Rm. 4214-03)__:

January 29, No Event (First Week of the Semester)

February 5, Fred Gardiner (GC), The quasidisc cocycle and
on the uniqueness problem of symmetric invariant measures I.

February 12, No Event (Lincoln’s Birthday)

February 19, Fred Gardiner (GC), The quasidisc cocycle and
on the uniqueness problem of symmetric invariant measures II

February 26, Fred Gardiner (GC), The quasidisc cocycle and
on the uniqueness problem of symmetric invariant measures III

March 5, TBA or Fred Gardiner (GC), The quasidisc cocycle and
on the uniqueness problem of symmetric invariant measures IV

March 12, No Event (YPJ will be UMA)

March 19, Zhe Wang
(BCC), Teichmuller theory and quadratic
differentials I

March 26, Kealey Dias (BCC)**, **Title: Landing Separatrices
are Stable.

Abstract: The main objects of study in this talk are the
(single-variable)

complex polynomial (autonomous) ODEs.

We are interested in these objects from a qualitative dynamics
perspective.

This elementary talk will first outline the basic properties of these
ODEs.

Then the main proof, joint result with Tan Lei, will show that the
topological

structure
of the maximal trajectories exhibits a kind of stability under certain
bifurcations.

April
2, Maxime Fortier Bourque (GC), A generalization of Teichmuller's theorem for embeddings

April
9, Maxime Fortier Bourque (GC), Moving one Riemann
surface inside another

April
16, No Event (Spring Break)

April 23, Diogo Pinheiro (BC), Title: Non-integrability
of the motion of a charged particle

in a lattice of fixed charges and under the
effect of

a uniform magnetic field

Abstract: We study the dynamical properties of the motion of a charged
particle

in a lattice of fixed charges and under the
effect of

a uniform magnetic field. This dynamical system
is Hamiltonian with two degrees of freedom.

The main result states that there exists a subset on the space of
parameters

and energy level sets for which there is an
invariant subset where the Hamiltonian system

under consideration contains a suspension of a
subshift of finite type with positive entropy.

April
30, Zhe Wang (BC), Teichmuller theory
and quadratic differentials I

May
7, Zhe Wang (BC), Teichmuller theory
and quadratic differentials II

May 14, TBA