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Ci-dessous, les différences entre deux révisions de la page.

--- wiki:abstracts [2014/11/12 17:51] – créée serjl
+++ wiki:abstracts [2014/11/18 12:40] (Version actuelle) – serjl
@@ Ligne 11: / Ligne 11: @@
 **Lionel Lang**
-On approximation of harmonic tropical curve.
+Title: On approximation of harmonic tropical curve.
-The generalization of the amoeba map introduced by I.Krichever suggest the consideration
+Abstract: The generalization of the amoeba map introduced by I.Krichever suggest the consideration
 of a wider class of tropical curves, with non rational slopes. To be more precise, it suggest
 a generalization of the notion of tropical morphism from abstract tropical curves to
@@ Ligne 38: / Ligne 38: @@
 **Ludmil Katzarkov**
-Categorical base loci and applications
+Title: Categorical base loci and applications
-We introduce the notion of categorical base loci.
+Abstract: We introduce the notion of categorical base loci.
 Possible applications will be considered.
@@ Ligne 54: / Ligne 54: @@
 **Hannah Markwig**
-Tropicalizing rational relative Gromov-Witten theory of P^1
+Title: Tropicalizing rational relative Gromov-Witten theory of P^1
-abstract: We show that the relative stable map compactification of M_0,n (for maps to P^1, relative to two points)
+Abstract: We show that the relative stable map compactification of M_0,n (for maps to P^1, relative to two points)
 is a tropical compactification. Furthermore, the tropicalization of the open part equals the tropical space of relative stable maps to P^1.
 Consequently, the Chow ring of the relative stable map space can be computed by means of tropical intersection theory in an intuitive way.
@@ Ligne 77: / Ligne 77: @@
 **Takeo Nishinou**
-Degeneration and curves on K3 surfaces.
+Title: Degeneration and curves on K3 surfaces.
-There is a well-known conjecture which states that all projective K3 surfaces contain infinitely many rational curves.��
+Abstract: There is a well-known conjecture which states that all projective K3 surfaces contain infinitely many rational curves. By calculating obstructions in deformation theory through degeneration, we give a new approach to this problem. In particular, we show that there is a Zariski open subset in the moduli space of projective complex K3 surfaces whose members fulfil the conjecture.
-By calculating obstructions in deformation theory through degeneration, we give a new approach to this problem.��
-In particular, we show that there is a Zariski open subset in the moduli space of projective complex K3 surfaces whose members fulfil the conjecture.
 %%%%%%%%%%%%%%%%%%%%%%%%
 **Erwan Brugalle**
-tba
+Title: Some applications of degeneration methods in real enumerative geometry
 %%%%%%%%%%%%%%%%%%%%%%%%
 **Tony Yue Yu**
-tba
+Title: Counting holomorphic cylinders and GAGA theorems��
+��
+Abstract: I will talk about the enumeration of holomorphic cylinders in log Calabi-Yau varieties.��
+��
+One ingredient is the study of tropicalization via non-archimedean geometry in the sense of Berkovich. I will recall some general results concerning enumerative geometry in this framework. Then I will explain how to apply these general results.��
+��
+Another important ingredient is the theory of non-archimedean analytic stacks. It is a separate project joint with M. Porta. In fact, we considered more generally higher analytic stacks using the language of infinity categories. We proved the analog of Serre’s GAGA theorem. I will explain the objects and the results by making a lot of analogies with algebraic geometry if the audience is not familiar with non-archimedean geometry.
 %%%%%%%%%%%%%%%%%%%%%%%%
 **Ilia Zharkov**
-Building skeleta of affine surfaces
+Title: Skeleta for affine surfaces��
+��
+Abstract: I will show how to build skeleta for affine surfaces using their��
+degeneration to tropical surfaces. The skeleta are "kind of Lagrangian",��
+except there are misterious "holomorphic" pieces which I seem cannot��
+avoid.��
+��
+%%%%%%%%%%%%%%%%%%%%%%%%��
+**Ilya Tyomkin**��
+��
+Title: Applications of tropical geometry to the study of Severi varieties in arbitrary characteristic.��
+��
+Abstract: In my talk I’ll discuss the geometry of Severi varieties on toric surfaces. I’ll review the progress made during the past 5 years. In some problems the tropical point of view is very helpful, although the proofs and constructions can be made purely algebraically. In others, the tropical tools are the only currently available tools to obtain the results.��
+��
+%%%%%%%%%%%%%%%%%%%%%%%%��
+**Anton Alekseev**��
+��
+Title: Tropicalization of Poisson brackets��
+��
+%%%%%%%%%%%%%%%%%%%%%%%%��
+**Maksim Karev**��
+��
+Title: Arnold's J^- -invariant and Kontsevich integral.��
+��
+Abstract: In 1994, V. Arnold has defined three order one invariants of smooth immersions S^1 --> R^2 related to three components of the discriminant subset in the space of immersions. One of these invariants, namely the one related to the discriminant component corresponding to the locus of immersions with a point of inverse self-tangency, is called J^- -invariant.��
+In my talk I will remind the definition of the J^- -invariant and explain its relation to configuration space integrals and Kontsevich integral.��
+��
+��
+%%%%%%%%%%%%%%%%%%%%%%%%��
+**Jens Forsgard**��
+��
+Title: Discriminants and Hyperfields

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