Markoff Numbers and geodesic lengths
Greg McShane (Institut Fourier)
Monday 7th June, 2021 16:00-17:00 Online
Markov numbers are integers that appear in triples which are solutions of a Diophantine equation, the so-called Markov cubic x2 + y2 + z2 = 3 xyz.
A classical topic in number theory, these numbers are related to many areas of mathematics such as combinatorics, hyperbolic geometry, approximation theory and cluster algebras.
- explain the geometry of the norm and how it can be used to prove new identities for lengths of simple closed geodesics
The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/91412568415 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).
If you would like to subscribe to the seminar mailing list, go to https://outlook.office365.com/people/, search "Geometry & Topology" and click "Join group".