BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Karen Habermann (Warwick) DTSTART:20210617T130000Z DTEND:20210617T134500Z DTSTAMP:20260423T024719Z UID:YRbGSA/11 DESCRIPTION:Title: Stochastic processes on surfaces in three-dimensional contact sub-Riemanni an manifolds\nby Karen Habermann (Warwick) as part of Young Researcher s between Geometry and Stochastic Analysis 2021\n\n\nAbstract\nWe are conc erned with stochastic processes on surfaces in three-dimensional contact s ub-Riemannian manifolds. By considering the Riemannian approximations to t he sub-Riemannian manifold which make use of the Reeb vector field\, we ob tain a second order partial differential operator on the surface arising a s the limit of Laplace-Beltrami operators. The stochastic process associat ed with the limiting operator moves along the characteristic foliation ind uced on the surface by the contact distribution. We show that for this sto chastic process elliptic characteristic points are inaccessible\, while hy perbolic characteristic points are accessible from the separatrices. We il lustrate the results with examples and we identify canonical surfaces in t he Heisenberg group\, and in $\\mathsf{SU}(2)$ and $\\mathsf{SL}(2\,\\math bb{R})$ equipped with the standard sub-Riemannian contact structures as mo del cases for this setting. This is joint work with Davide Barilari\, Ugo Boscain and Daniele Cannarsa.\n LOCATION:https://researchseminars.org/talk/YRbGSA/11/ END:VEVENT END:VCALENDAR