symplectic
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symplectic [2023/03/23 03:32] – kalinin0 | symplectic [2023/11/09 23:30] – slavitya_gmail.com | ||
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===== GeNeSys: Geneva-Neuchâtel Symplectic geometry seminar ===== | ===== GeNeSys: Geneva-Neuchâtel Symplectic geometry seminar ===== | ||
+ | **2023, November 6, Monday, Université de Neuchâtel** | ||
+ | |||
+ | Prof. Dr. Emmanuel Opshtein (Université de Strasbourg) | ||
+ | 15:00, Université de Neuchâtel, Rue Emile-Argand 11, Room B217 | ||
+ | Liouville polarizations and their Lagrangian skeleta in dimension 4 | ||
+ | | ||
+ | In the simplest framework of a symplectic manifold with rational symplectic class, a symplectic polarization is a smooth symplectic hypersurface Poincaré-Dual to a multiple of the symplectic class. This notion was introduced by Biran, together with the isotropic skeleta associated to a polarization, | ||
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+ | ------------- | ||
+ | **2023, April 26, Wednesday, Université de Genève** | ||
+ | |||
+ | Lionel Lang (Gävle) | ||
+ | Measuring holes of hypersurfaces | ||
+ | 14h00 | ||
+ | |||
+ | In 2000, Mikhalkin introduced a class of real algebraic planar curves now known as simple Harnack curves. Among their many nice properties, these curves appear as spectral curves of planar dimers. In this context, Kenyon and Okounkov showed that any simple Harnack curve is determined by the logarithmic area of some well chosen membranes bounded on the curve (plus some boundary conditions). This is a very special situation since, in general, the areas of these membranes only provide local coordinates on the space of curves under consideration. In this talk, Lionel Lang would like to discuss a generalization of this fact to arbitrary dimension, namely how logarithmic volumes of well chosen membranes provide local coordinates on linear systems of hypersurfaces. Moreover, these local coordinates have an obvious tropicalization that gives rise to global coordinates on the corresponding linear system of tropical hypersurfaces. Eventually, if time permits, he would like to discuss potential applications to deformation of real algebraic hypersurfaces. | ||
+ | |||
+ | Viatcheslav Kharlamov (Strasbourg) | ||
+ | Unexpected loss of Smith-Thom maximality: the case of Hilbert squares of surfaces | ||
+ | 16h00 | ||
+ | |||
+ | Viatcheslav Kharlamov explores the maximality of the Hilbert square of maximal real surfaces, and finds that in many cases the Hilbert square is maximal if and only if the surface has connected real locus. In particular, the Hilbert square of no maximal K3-surface is maximal. Nevertheless, | ||
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16h00 | 16h00 | ||
- | One of the earliest fundamental applications of Lagrangian Floer theory is detecting the non-displaceablity of a Lagrangian submanifold. Much progress and generalizations have been made since then but little is known when the Lagrangian submanifold is disconnected. In this talk, we describe a new idea to address this problem. Subsequently, | + | One of the earliest fundamental applications of Lagrangian Floer theory is detecting the non-displaceablity of a Lagrangian submanifold. Much progress and generalizations have been made since then but little is known when the Lagrangian submanifold is disconnected. In this talk, we describe a new idea to address this problem. Subsequently, |
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symplectic.txt · Dernière modification : 2023/11/27 17:55 de slavitya_gmail.com