BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Álvaro del Pino Gómez (Utrecht University (The Netherlands)) DTSTART:20210325T150000Z DTEND:20210325T160000Z DTSTAMP:20260423T023017Z UID:DinAmicI/19 DESCRIPTION:Title: Billiards in subriemannian geometry\nby Álvaro del Pino Gómez (Utr echt University (The Netherlands)) as part of DinAmicI: Another Internet S eminar\n\n\nAbstract\nWhen one considers manifolds with boundary\, billiar d dynamics are the natural analogue of standard geodesic dynamics. Namely\ , instead of having geodesics escape at the boundary\, we force them back into the manifold using the reflection law. In other dynamical settings\, similar constructions are possible: In 2006\, B. Khesin and S. Tabachnikov initiated the study of billiards in the semiriemannian setting\, studying the integrability of various tables. In recent years we have also seen th e appearance of several billiard setups of symplectic nature.\n\nIn this t alk I will discuss recent work with L. Dahinden in which we look at billia rds in subriemannian geometry. I will sketch how the reflection law arises naturally both from the control-theoretical and symplectic perspectives\, how the reflection is problematic at tangency points between the distribu tion and the boundary of the table\, and I will introduce some concrete ex amples. My ultimate goal will be to pose several intriguing open questions .\n LOCATION:https://researchseminars.org/talk/DinAmicI/19/ END:VEVENT END:VCALENDAR