Symplectic Capacities of Domains Close to the Ball and Quasi-Invariant Contact

Explore a conference talk on symplectic dynamics and contact geometry presented by Alberto Abbondandolo at the Centre International de Rencontres Mathématiques. Delve into an old open question about normalized symplectic capacities on convex domains, focusing on domains close to a ball. Learn about a "quasi-invariant" normal form in Reeb dynamics and its implications for geodesics in the space of contact forms. Discover the results of joint work with Gabriele Benedetti and Oliver Edtmair. Recorded during the thematic meeting "From smooth to C⁰ symplectic geometry: topological aspects and dynamical implications," this talk offers insights into cutting-edge mathematical research. Access additional features through CIRM's Audiovisual Mathematics Library, including chapter markers, keywords, abstracts, bibliographies, and multi-criteria search options.

Alberto Abbondandolo: Symplectic capacities of domains close to the ball and quasi-invariant contact