Search:   This Site | People | Departments | Penn State

Home

Fall 2008
Spring 2008
Fall 2007
Spring 2007
Fall 2006
Spring 2006
Fall 2005
Spring 2005
Fall 2004
Spring 2004
Fall 2003
Spring 2003
Fall 2002
Spring 2002
Fall 2001
Spring 2001
Fall 2000
Spring 2000
Fall 1999
Spring 1999
Fall 1998

University Park
Altoona

Thursday, May 3, 2007
5:05pm, 106 McAllister

Young-Eun Choi
Penn State Altoona

Comparison of Teichmueller geodesics and lines of minima.

Abstract: Teichmueller geodesics and lines of minima are infinite paths in Teichmueller space that share common properties. Given two measured foliations on a surface, we compare the behavior of the associated Teichmueller geodesic and line of minima. In particular, we show that the curves which become short along the geodesic coincide with those that become short along the line of minima. We find that the line of minima can deviate arbitrarily far from the geodesic, but by analyzing the change in length of short curves and the structure of their complements, we show that lines of minima are quasi-geodesics.

(Joint work with Kasra Rafi and Caroline Series)

---

We meet weekly on Thursday afternoons, with the third meeting of each month in Altoona. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Spring 2006 semester: Aissa Wade and Wojciech Dorabiala.

 

Text Only Version | Site-Index | Privacy and Legal Statements | Copyright
©Copyright 2008, The Pennsylvania State University
Contact: Wojciech Dorabiala; Page last updated: August 2008