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symplectic [2025/05/04 18:52] – g.msymplectic [2025/05/04 18:57] (Version actuelle) – g.m
Ligne 2: Ligne 2:
  
  
-**2025, May 6, Tuesday, Université de Neuchâtel, Room B217**+**2025, May 6, Tuesday, Université de Neuchâtel**
  
   Marco Golla (Université de Nantes, CNRS)    Marco Golla (Université de Nantes, CNRS) 
-  13h00+  13h00, Salle B217
   Alexander polynomials and symplectic curves in CP^2   Alexander polynomials and symplectic curves in CP^2
      
 Libgober defined the Alexander polynomial of a (complex) plane projective curve and showed that it detects some Zariski pairs ofcurves: these are curves with the same degree and the same singularities but with non-homeomorphic complements. He also proved that the Alexander polynomial of a curve divides the Alexander polynomial of its link at infinity and the product of Alexander polynomials of the links of its singularities. We extend Libgober's definition to the symplectic case and prove that the divisibility relations also hold in this context. This is joint work with Hanine Awada.  Libgober defined the Alexander polynomial of a (complex) plane projective curve and showed that it detects some Zariski pairs ofcurves: these are curves with the same degree and the same singularities but with non-homeomorphic complements. He also proved that the Alexander polynomial of a curve divides the Alexander polynomial of its link at infinity and the product of Alexander polynomials of the links of its singularities. We extend Libgober's definition to the symplectic case and prove that the divisibility relations also hold in this context. This is joint work with Hanine Awada. 
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 +  Conan Leung (The Chinese ÓñÃÀÈË´«Ã½ of Hong Kong)
 +  14h30, Salle B217
 +  3d Mirror Symmetry is 2d Mirror Symmetry
 +  
 +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. 
 +
 +  Sobhan Seyfaddini (ETH Zürich)
 +  14h30, Salle B217
 +  Closing Lemmas on Symplectic Manifolds
 +  
 +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, highlighting works by Asaoka, Irie, Cristofaro-Gardiner, Edtmair, Hutchings, Prasad, and Zhang. I will also present some recent joint work with Cineli & Tanny and Mak & Smith, including partial results in higher dimensions.
 +
 +
  
 **2025, March 24, Monday, Université de Genève** **2025, March 24, Monday, Université de Genève**
symplectic.1746377568.txt.gz · Dernière modification : de g.m
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