BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Brayan Ferreira (Universidade Federal do Espírito Santo) DTSTART:20231003T150000Z DTEND:20231003T160000Z DTSTAMP:20260423T022738Z UID:Geolis/125 DESCRIPTION:Title: Symplectic embeddings into disk cotangent bundles of spheres\nby Bray an Ferreira (Universidade Federal do Espírito Santo) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nThe question whether a symplectic manifold embeds into another is central in symplectic topology. Since Gromov nonsq ueezing theorem\, it is known that this is a different problem from volume preserving embedding. There are several nice results about symplectic emb eddings between open subsets of $\\mathbb R^{2n}$ showing that even for th ose examples the question can be completely nontrivial. The problem is sub stantially more well understood when the manifolds are toric domains and h ave dimension $4$\, mostly because of obstructions coming from embedded co ntact homology (ECH). In this talk we are going to discuss symplectic embe dding problems in which the target manifold is the disk cotangent bundle o f a two-dimensional sphere\, i.e.\, the set consisting of the covectors wi th norm less than $1$ over a Riemannian sphere. We shall talk about some t ools such as ECH capacities and action angle coordinates. Much of this tal k is based on joint works with Vinicius Ramos and Alejandro Vicente.\n LOCATION:https://researchseminars.org/talk/Geolis/125/ END:VEVENT END:VCALENDAR