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Paul Colognese (Warwick) - Volume growth on translation surfaces

Dates:7 October 2019
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
Speaker:Paul Colognese
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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

Paul Colognese (Warwick) will be speaking at this research seminar, part of the Dynamical Systems and Analysis seminar series.

Abstract: Translation surfaces can be viewed as a collection of polygons in the plane, where each edge is glued to another edge via a translation. Such an identification yields a closed surface with a flat metric except at a finite number of singularities. These singularities may be thought of as points of high negative curvature which motivates us to consider which geometrical properties of negatively curved surfaces carry over to translation surfaces. In the first half of this talk I will give an overview of some initial results which test this analogy. This is joint work with Mark Pollicott

Speaker

Paul Colognese

Organisation: University of Warwick

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Frank Adams 1
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Tom Kempton

thomas.kempton@manchester.ac.uk

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