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Tangle-free Hyperbolic Surfaces - Dynamical Systems and Analysis Seminar Series

Dates:8 March 2021
Times:13:00 - 14:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
Speaker:Joe Thomas
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Maths seminar series"
  • In group "(Maths) Analysis and dynamical systems"
  • By Department of Mathematics

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.

Speaker

Joe Thomas

Organisation: University of Manchester

Travel and Contact Information

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G.113
Alan Turing Building
Manchester

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Tom Kempton

thomas.kempton@manchester.ac.uk

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