symplectic
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| symplectic [2025/05/04 18:54] – g.m | symplectic [2025/05/04 18:57] (Version actuelle) – g.m | ||
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| We introduce an approach to study 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex structures in 2d mirror symmetry induces the exchange of Kähler and equivariant parameters in 3d mirror symmetry; and (3) the functionalities of 2d mirror symmetry control the gluing of 3d mirrors. | We introduce an approach to study 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex structures in 2d mirror symmetry induces the exchange of Kähler and equivariant parameters in 3d mirror symmetry; and (3) the functionalities of 2d mirror symmetry control the gluing of 3d mirrors. | ||
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| + | Sobhan Seyfaddini (ETH Zürich) | ||
| + | 14h30, Salle B217 | ||
| + | Closing Lemmas on Symplectic Manifolds | ||
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| + | Given a diffeomorphism of a manifold, can one perturb it to create a periodic orbit passing through a specified region? This question, first raised in the 1960s, is known as the Closing Lemma. While the problem was resolved positively in C^1 regularity long ago, it remains largely open at higher levels of smoothness. Recent years have seen significant progress in the C^\infty setting, particularly for area-preserving maps on surfaces. In this talk, I will review these developments, | ||
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| **2025, March 24, Monday, Université de Genève** | **2025, March 24, Monday, Université de Genève** | ||
symplectic.txt · Dernière modification : de g.m