Personal tools

Submanifold Projection

— filed under:

Lucas Sabalka, Saint Louis University

  • Topology Seminar
When Fri, Feb 15, 2013
from 11:00 AM to 11:50 AM
Where Ritter Hall 316
Add event to calendar vCal

Abstract:  The outer automorphism group of the free group, Out(F_n), has a deep connection with the mapping class group of a surface. That connection has been fruitfully exploited to study various aspects of Out(F_n), including most recently its geometry.  One of the most useful tools for studying the geometry of the mapping class group has been the subsurface projections of Masur and Minsky. In this talk, discussing research that is joint with Dmytro Savchuk, we will discuss an analogue of subsurface projection for Out(F_n) that we call submanifold projection. Our projection is topological in nature, using intersections of embedded 2-spheres in a particular 3-manifold.  We discuss a number of desirable properties of submanifold projection, including a Behrstock inequality and a Bounded Geodesic Image theorem.

« March 2018 »
Upcoming Events
Math/CS Club
Wed, Mar 21, 2018
100 prisoners Bryan Clair, SLU
Fri, Mar 23, 2018
Introduction to Cluster Algebras Kyungyong Lee, University of Nebraska, Lincoln
Wed, Apr 18, 2018
Quantitative Topology? by Shmuel Weinberger, U Chicago
Annual Awards Ceremony
Fri, Apr 27, 2018
The 2018 Math & Statistics Department Award Ceremony Featuring Sarah Greenwald, Appalachian State University
Previous events…
Upcoming events…