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 2014 Schedule 

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

 

January 28, Fred Gardiner, Kobayashi's and Carath\'eodory's metrics on Teichmuller space I

 

February 4, Fred Gardiner, Kobayashi's and Carath\'eodory's metrics on Teichmuller space II

February 11, Monday Schedule, Fred Gardiner, Kobayashi's and Carath\'eodory's metrics on Teichmuller space III

February 18, Fred Gardiner, Kobayashi's and Carath\'eodory's metrics on Teichmuller space IV

February 25, Fred Gardiner, Kobayashi's and Carath\'eodory's metrics on Teichmuller space V

 

March 4, Jeremy Kahn, On a compactification of Teichmuller space I

March 11, Jeremy Kahn, On a compactification of Teichmuller space II

March 18, Irwin Kra, Maskit coordinates: metrics and geodesic discs I

March 25, Linda Keen, on Schottky groups I

April 1, Linda Keen, on Schottky groups II

April 8, Spring Recess

April 15, TBA

April 22, Moira Chas, Computer driven theorem and questions in geometry I

                                  Consider an orientable surface $S$ with negative Euler characteristic,

                                  a minimal set of generators of the fundamental group of $S$, and

                                  a constant curvature $-1$ metric on $S$.  Each unbased homotopy class $C$

                                  of closed oriented curves on $S$ determines three numbers: the word length

                                  (that is, the minimal number of letters needed to express $C$ as a cyclic word

                                  in the generators and their inverses), the minimal geometric self-intersection number,

                                  and finally the geometric length. These three numbers can be explicitly computed

                                 (or approximated) using a computer.  We will discuss relations between these numbers

                                 and their statistical structure as length becomes large.

 

April 29, Moira Chas, Computer driven theorem and questions in geometry II

                                  Consider an orientable surface $S$ with negative Euler characteristic,

                                  a minimal set of generators of the fundamental group of $S$, and

                                  a constant curvature $-1$ metric on $S$.  Each unbased homotopy class $C$

                                  of closed oriented curves on $S$ determines three numbers: the word length

                                  (that is, the minimal number of letters needed to express $C$ as a cyclic word

                                  in the generators and their inverses), the minimal geometric self-intersection number,

                                  and finally the geometric length. These three numbers can be explicitly computed

                                 (or approximated) using a computer.  We will discuss relations between these numbers

                                 and their statistical structure as length becomes large.

 

May 6, Irwin Kra, Maskit coordinates: metrics and geodesic discs II

May 13, Nishan Chatterjee, Asymptotical Beltrami coefficients for circle homeomorphisms 

 

 

Spring of 2014 Schedule

Fall of 2013 Schedule