Tangle-free Hyperbolic Surfaces - Dynamical Systems and Analysis Seminar Series
|Starts:||13:00 8 Mar 2021|
|Ends:||14:00 8 Mar 2021|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Adults, Alumni, Current University students|
Joe Thomas will be speaking at this research seminar, part of the Dynamical Systems and Analysis seminar series.
Abstract: The local geometry of hyperbolic surfaces has far reaching consequences on the spectral properties of the Laplacian operator in this setting. By elaborating on this connection, I will motivate some recent joint work with Laura Monk (Strasbourg), in which we introduce the notion of a tangle-free parameter for these surfaces. The highlight of this work is that the structure of geodesics and their local topology can be well understood when their lengths are on scales up to this parameter. I will discuss some of these implications as well as how one can show that typical surfaces are clog(genus)-tangle-free for any 0<c<1.
Organisation: University of Manchester
Travel and Contact Information
Alan Turing Building