fables
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fables [2020/05/03 21:08] – weronika | fables [2023/04/20 21:29] – kalinin0 | ||
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====== Séminaire " | ====== Séminaire " | ||
- | The normal starting | + | ---- |
+ | FABLES GEOMETRIQUES MINICOURSE, April 24-27 | ||
+ | |||
+ | **Sergey Finashin (METU Ankara)** | ||
+ | |||
+ | Lecture 1, Monday, April 24, 15h, room 6-13 | ||
+ | Lecture 2, Tuesday, April 25, 13h, Room 1-07 | ||
+ | Lecture 3, Thursday, April 27, 16h15, Room 1-15 | ||
+ | |||
+ | |||
+ | **Strong Invariants in Real Enumerative Geometry** | ||
+ | |||
+ | In the first lecture I will discuss a signed count of real lines on real projective hypersurfaces, | ||
+ | All the results are joint with V.Kharlamov. | ||
+ | |||
+ | ---- | ||
+ | |||
+ | Monday, April 3, 2023 | ||
+ | room 6-13 | ||
+ | **15h00 — Alexander Bobenko (TU Berlin)** | ||
+ | |||
+ | **Discrete conformal mappings, ideal hyperbolic polyhedra, and Ronkin function** | ||
+ | |||
+ | The general idea of discrete differential geometry is to find and investigate discrete models that exhibit properties and structures characteristic for the corresponding smooth geometric objects. We focus on a discrete notion of conformal equivalence of polyhedral metrics. Two triangulated surfaces are considered discretely conformally equivalent if the edge lengths are related by scale factors associated with the vertices. This simple definition leads to a surprisingly rich theory. We review connections between conformal geometry of triangulated surfaces, the geometry of ideal hyperbolic polyhedra and discrete uniformization of Riemann surfaces. Surprisingly, | ||
+ | |||
+ | ---- | ||
+ | Monday, March 27, 2023 | ||
+ | room 6-13 | ||
+ | |||
+ | **16h00 — Sebastian Haney (Columbia U)** | ||
+ | |||
+ | **Mirror Lagrangians to lines in P^3** | ||
+ | |||
+ | We discuss work in progress in which we construct, for any tropical curve in $R^n$ with vertices of valence at most $4$, a Lagrangian submanifold of $(C^*)^n$ whose moment map projection is a tropical amoeba. These Lagrangians will have singular points modeled on the Harvey-Lawson cone over a $2$-torus. We also consider a certain $4$-valent tropical curve in $R^3$, for which we can modify the singular Lagrangian lift to obtain a cleanly immersed Lagrangian. The objects of the wrapped Fukaya category supported on this Lagrangian correspond, under mirror symmetry, to lines in $CP^3$. If time permits, we will explain how to use functors induced by Lagrangian correspondences to see this mirror relation. | ||
+ | ---- | ||
+ | Monday, March 20, 2023 | ||
+ | room 6-13 | ||
+ | |||
+ | **16h00 — Ilia Itenberg (Sorbonne)** | ||
+ | |||
+ | **Maximal real algebraic hypersurfaces | ||
+ | |||
+ | The talk is devoted to a combinatorial patchworking construction of maximal (in the sense of the generalized Harnack inequality) real algebraic hypersurfaces in real projective spaces (joint work with Oleg Viro). | ||
+ | During the talk, we will mainly concentrate on the construction of a maximal quintic hypersurface in the 4-dimensional real projective space. | ||
+ | ---- | ||
+ | |||
+ | Monday, March 6, 2023 | ||
+ | room 6-13 | ||
+ | |||
+ | **15h00 — Ali Ulaş Özgür Kişisel (METU, Ankara)** | ||
+ | |||
+ | **Expected measures of amoebas of random plane curves** | ||
+ | |||
+ | There are several natural measures that one can place on the amoeba of an algebraic curve in the complex projective plane. Passare and Rullgård prove that the total mass of the Lebesgue measure on the amoeba of a degree $d$ curve is bounded above by $π^{2} d^{2} / 2$, by comparing it to another Monge-Ampère type measure, which is dual to the usual measure on the Newton polytope of the defining polynomial via the Legendre transform. Mikhalkin generalizes | ||
+ | |||
+ | ---- | ||
+ | |||
+ | Monday, February 27, 2023 | ||
+ | room 6-13 | ||
+ | |||
+ | **15h00 — Evgeni Abakoumov (Paris/ | ||
+ | |||
+ | **Chui' | ||
+ | |||
+ | C. K. Chui conjectured in 1971 that the average gravitaional field strength in the unit disk due to unit point masses | ||
+ | |||
+ | **16h00 — Ferit Ozturk (Istanbul/ | ||
+ | |||
+ | **Every real 3-manifold admits a real contact structure** | ||
+ | |||
+ | We survey our results regarding real contact 3-manifolds and present our result in the title. | ||
+ | A real 3-manifold is a smooth 3-manifold together with an orientation preserving smooth involution, called a real structure. | ||
+ | A real contact 3-manifold is a real 3-manifold with a contact distribution that is antisymmetric with respect to the real structure. | ||
+ | The standard examples of real contact 3-manifolds are link manifolds of isolated, real analytic surface singularities. | ||
+ | We show that every real contact 3-manifold can be obtained via contact surgery along invariant knots starting from the standard real contact 3-sphere. | ||
+ | As a corollary we show that any oriented overtwisted contact structure on an integer homology real 3-sphere can be isotoped to be real. | ||
+ | |||
+ | |||
+ | ---- | ||
+ | |||
+ | | ||
+ | 16:00, room 6-13 | ||
+ | |||
+ | **Sergey Finashin (Ankara)** | ||
+ | |||
+ | **“Affine Real Cubic Surfaces”** | ||
+ | |||
+ | Abstract: (A joint work with V.Kharlamov) We prove that the space of | ||
+ | affine, transversal at infinity, non-singular real cubic surfaces has 15 connected components. We give a topological criterion to distinguish them and show also how these 15 components are adjacent to each other via wall-crossing. | ||
+ | |||
+ | ---- | ||
+ | |||
+ | Thursday, June 16, 2022 | ||
+ | 16:00, room 1-07 | ||
+ | |||
+ | **Prof. | ||
+ | |||
+ | **“Topology of spaces of Legendrian knots via Algebraic K-theory”** | ||
+ | |||
+ | Abstract: The highly non-trivial stable homotopy groups of the Waldhausen’s | ||
+ | h-cobordism space inject into the homotopy groups of spaces of appropriate Legendrian submanifolds. For instance, | ||
+ | |||
+ | ---- | ||
+ | Fri 17.12.2021, 13h30, room 6-13 | ||
+ | |||
+ | Andras Szenes | ||
+ | |||
+ | **Diagonal bases and wall-crossings in moduli spaces of vector bundle** | ||
+ | |||
+ | The idea of the calculation of the Hilbert function of the moduli spaces of vector bundles on Riemann surfaces goes back to the works of Michael Thaddeus in the early 90’s. | ||
+ | I describe joint work with Olga Trapeznikova where this plan is carried out in detail, which uses only basic tools of Geometric Invariant Theory and a combinatorial/ | ||
+ | ---- | ||
+ | Nov 1, 16h15. Room 06-13 | ||
+ | |||
+ | Vasily Golyshev (Moscow, Bures-sur-Yvette) | ||
+ | |||
+ | |||
+ | **Markov numbers in number theory, topology, algebraic geometry, and differential equations** | ||
+ | |||
+ | I will explain how the Markov numbers arise in different mathematical | ||
+ | disciplines, | ||
+ | ---- | ||
- | 2020, Tuesday, May 19, 14:00, Virtual seminar, Lionel Lang (Stockholm University) | + | 2020, Wednesday, May 20, 16:00 (CEST), Virtual seminar, Lionel Lang (Stockholm University) |
+ | |||
+ | https:// | ||
+ | Meeting ID: 592 872 9514 Password: (the number of lines on a cubic surface) | ||
| | ||
**Co-amoebas, | **Co-amoebas, |
fables.txt · Dernière modification : 2023/12/05 11:54 de slavitya_gmail.com