BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maksim Stokic (Tel Aviv University) DTSTART:20220330T111000Z DTEND:20220330T123000Z DTSTAMP:20260423T005739Z UID:GDS/52 DESCRIPTION:Title: $C^ 0$ contact geometry of isotropic submanifolds\nby Maksim Stokic (Tel A viv University) as part of Geometry and Dynamics seminar\n\n\nAbstract\nTh e celebrated Eliashberg-Gromov rigidity theorem states that a diffeomorphi sm \nwhich is a $C^0$-limit of symplectomorphisms is itself symplectic. Co ntact \nversion of this rigidity theorem holds true as well. Motivated by this\, contact \nhomeomorphisms are defined as $C^0$-limits of contactomor phisms. Isotropic \nsubmanifolds are a particularly interesting class of s ubmanifolds\, and in this \ntalk we will try to answer whether or not isot ropic property is preserved by \ncontact homeomorphisms. Legendrian subman ifolds are isotropic submanifolds of \nmaximal dimension and we expect tha t the rigidity holds in this case. We give \na new proof of the rigidity i n dimension 3\, and provide some type of rigidity \nin higher dimensions. On the other hand\, we show that the subcritical isotropic \ncurves are fl exible\, and we prove quantitative $h$-principle for subcritical \nisotrop ic embeddings which is our main tool for proving the flexibility result.\n LOCATION:https://researchseminars.org/talk/GDS/52/ END:VEVENT END:VCALENDAR