- Geometry Topology Student Seminar
- Wednesday, November 17, 2021 - 2:00pm for 1 hour (actually 50 minutes)
- Online (via BlueJeans)
- Roberta Shapiro – Georgia Tech
- Roberta Shapiro and Weizhe Shen
Please Note: BlueJeans link: https://bluejeans.com/575457754/6776
Given a surface S, the Alexander method is a combinatorial tool used to determine whether two self-homeomorphisms of S are isotopic. This statement was formalized in the case of finite-type surfaces, which are surfaces with finitely generated fundamental groups. A version of the Alexander method was extended to infinite-type surfaces by Hernández-Morales-Valdez and Hernández-Hidber. We extend the remainder of the Alexander method to include infinite-type surfaces.
In this talk, we will talk about several applications of the Alexander method. Then, we will discuss a technique useful in proofs dealing with infinite-type surfaces and provide a "proof by example" of an infinite-type analogue of the Alexander method.
This will be practice for a future talk and comments and suggestions are appreciated.