symplectic
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symplectic [2022/09/16 15:26] – kalinin0 | symplectic [2023/04/19 14:59] – kalinin0 | ||
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===== GeNeSys: Geneva-Neuchâtel Symplectic geometry seminar ===== | ===== GeNeSys: Geneva-Neuchâtel Symplectic geometry seminar ===== | ||
+ | ------------- | ||
+ | 2023, April 26, Wednesday, Université de Genève | ||
+ | |||
+ | | ||
+ | | ||
+ | 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. | ||
+ | |||
+ | | ||
+ | | ||
+ | 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, | ||
+ | ---------------- | ||
+ | |||
+ | **2023, March 21, Tuesday, Université de Neuchâtel** | ||
+ | |||
+ | Patricia Dietzsch (ETH Zürich) | ||
+ | Dehn twists along real Lagrangian spheres | ||
+ | 14h00 | ||
+ | | ||
+ | A major tool in the study of the Dehn twist along a Lagrangian sphere is Seidel' | ||
+ | |||
+ | Cheuk Yu Mak (University of Southampton) | ||
+ | Non-displaceable Lagrangian links in 4 manifolds | ||
+ | 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, | ||
+ | ---------------- | ||
+ | |||
+ | **2022, October 18, Université de Genève, salle 6-13** | ||
+ | |||
+ | |||
+ | Ilia Itenberg (Sorbonne) | ||
+ | Real enumerative invariants and their refinement | ||
+ | Salle 6-13, 14h15 | ||
+ | |||
+ | **Abstract: | ||
+ | |||
+ | The talk is devoted to several real and tropical enumerative problems. | ||
+ | We suggest new invariants of the projective plane (and, more generally, of toric surfaces) | ||
+ | that arise as results of an appropriate enumeration of real elliptic curves. | ||
+ | These invariants admit a refinement (according to the quantum index) similar to the one introduced by Grigory Mikhalkin in the rational case. | ||
+ | We discuss the combinatorics of tropical counterparts of the elliptic invariants under consideration and establish a tropical algorithm | ||
+ | allowing one to compute them. | ||
+ | This is a joint work with Eugenii Shustin. | ||
---------------- | ---------------- | ||
**2022, September 27, Tuesday, Université de Neuchâtel** | **2022, September 27, Tuesday, Université de Neuchâtel** |
symplectic.txt · Dernière modification : 2023/11/27 17:55 de slavitya_gmail.com