Séminaire Géométrie et applications
organisé par l'équipe Géométrie
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Shah Faisal
The symplectic embedding problem of higher-dimensional ellipsoids
24 novembre 2025 - 14:00Salle de séminaires IRMA
Inspired by Gromov's pioneering idea in the proof of his non-squeezing theorem, one can seek sharp numerical obstructions to symplectic embeddings by constructing pseudo-holomorphic curves with carefully controlled symplectic area. In the case of symplectic embeddings of ellipsoids, this approach leads to the problem of producing pseudo-holomorphic curves of arbitrarily large degree, subject to specific geometric and asymptotic constraints in the complex projective spaces. In higher dimensions, constructing pseudo-holomorphic curves with the correct symplectic area is often highly challenging due to the area constraint. To circumvent this difficulty, we propose a different perspective: rather than seeking curves of a prescribed symplectic area, one observes that the existence of a symplectic embedding typically implies the existence of some rigid pseudo-holomorphic curves. The count of such curves can be viewed as an obstruction to the existence of certain symplectic embeddings. Using this idea, I will explain a lower bound for the embedding capacity of higher-dimensional symplectic ellipsoids. This is based on work in progress. -
Giles Gardam
TBA
1 décembre 2025 - 14:00Salle de séminaires IRMA
TBA -
Santharoubane Ramanujan
TBA
8 décembre 2025 - 14:00Salle de séminaires IRMA
TBA -
Baptiste Séraille
à préciser
8 décembre 2025 - 15:30Salle de séminaires IRMA
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Neige Paulet
TBA
15 décembre 2025 - 14:00Salle de séminaires IRMA
TBA -
Sergi Burniol-Clotet
TBA
12 janvier 2026 - 14:00Salle de séminaires IRMA
TBA -
Lamine Messaci
TBA
26 janvier 2026 - 14:00Salle de séminaires IRMA
TBA -
Timothé Lemistre
TBA
23 février 2026 - 14:00Salle de séminaires IRMA
TBA -
Manuel Rivera
TBA
9 mars 2026 - 14:00Salle de séminaires IRMA