VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: Geometrization, integrability and knots
Alexander Veselov (Loughborough University)
Wednesday 3rd June, 2020 14:00-15:00 Zoom seminar hosted by ICMS
I will review the current situation with Liouville integrability in relation with Thurston’s geometrization programme, using as the main example the geodesic flows on the 3-folds with SL(2,R)-geometry. A particular case of such manifold SL(2,R)/SL(2,Z) is known (after Quillen) to be topologically equivalent to the complement of the trefoil knot in 3-sphere. I will explain that the remarkable results of Ghys about modular and Lorenz knots can be naturally extended to the integrable region, where these knots are replaced by the cable knots of trefoil. The talk is based on a joint work with Alexey Bolsinov and Yiru Ye.
For more information, and how to access the seminar through Zoom, see the webpage of the events here.