symplectic
Différences
Ci-dessous, les différences entre deux révisions de la page.
| Les deux révisions précédentesRévision précédente | |||
| symplectic [2025/10/31 19:10] – g.m | symplectic [2025/11/03 22:57] (Version actuelle) – g.m | ||
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| Ligne 4: | Ligne 4: | ||
| Oliver Edtmair (ETHZ) | Oliver Edtmair (ETHZ) | ||
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| Volume filling ellipsoids | Volume filling ellipsoids | ||
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| I will explain how to fill the full volume of any compact connected symplectic 4-manifold with smooth boundary with a single symplectic ellipsoid. This can be seen as a strong version of Biran’s famous packing stability theorem and has interesting consequences concerning the subleading asymptotics of various symplectic Weyl laws. The embedding construction relies on a quantitative refinement of Banyaga’s classical theorem on the simplicity and perfectness of Hamiltonian diffeomorphism groups, which I will also explain. Recently, Cristofaro-Gardiner and Hind constructed symplectic domains (with non-regular boundary) for which packing stability breaks down. I will explain some progress towards pinpointing the exact transition point between packing stability and failure thereof and mention open questions and conjectures. | I will explain how to fill the full volume of any compact connected symplectic 4-manifold with smooth boundary with a single symplectic ellipsoid. This can be seen as a strong version of Biran’s famous packing stability theorem and has interesting consequences concerning the subleading asymptotics of various symplectic Weyl laws. The embedding construction relies on a quantitative refinement of Banyaga’s classical theorem on the simplicity and perfectness of Hamiltonian diffeomorphism groups, which I will also explain. Recently, Cristofaro-Gardiner and Hind constructed symplectic domains (with non-regular boundary) for which packing stability breaks down. I will explain some progress towards pinpointing the exact transition point between packing stability and failure thereof and mention open questions and conjectures. | ||
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| + | Filip Brocic (Augsburg) | ||
| + | 15h30 B217 | ||
| + | Parametric Gromov width in Liouville domains | ||
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| + | In the talk, I will introduce the notion of the parametric Gromov width motivated by the classical camel theorem. The main theorem is a method how to bound the parametric Gromov width in the case of Liouville domains using the structure of the BV algebra on the persistence module that recovers symplectic cohomology. After presenting the theorem, I will cover main applications mainly using the string topology on cotangent bundles. In particular, I will give a new proof of the camel theorem using our methods. Time permitting, I will explain the method of the proof of the main theorem. This talk is based on the joint work with Dylan Cant. | ||
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symplectic.txt · Dernière modification : de g.m