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Table of contents

More Information about talks, posters, abstracts and timetable will come as soon as possible. This is a joint work with Misha Verbitsky. Let X be an irreducible holomorphic symplectic manifold and z a Beauville-Bogomolov negative 1,1 -class. Using the ergodicity of the monodromy action, we prove some deformation-invariance statements for the locus covered by rational curves of class z in X. Carrying out the Minimal Model Program for moduli spaces is a classical and extremely challenging problem. In this talk, we will deal with a particular moduli space, namely the Hilbert scheme of points on a surface with irregularity zero.

After explaining the connection between the birational models of a variety and the combinatorics of its Nef cone, we will show how Bridgeland stability conditions are a powerful machinery to produce extremal rays in the Nef cone of the Hilbert scheme. Time permitting, we will give a complete description of the Nef cone in some examples of low Picard rank.

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This is joint work with J. Huizenga, Y. Lin, E. Riedl, B.

Schmidt, M. Woolf and X. We will talk about a work in progress with C.

Programme - Birational Geometry and Moduli Spaces

Knutsen and T. In particular we will focus on the existence problem and the regularity problem. I will discuss how to generalise known nonvanishing and semiampleness conjectures from various contexts. This is joint work with Thomas Peternell. The theory of linear series on tropical curves, since its introduction by Baker and Norine about 10 years ago, has seen spectacular developments in recent years. In fact, the combinatorial systematic treatment of degenerations of classical linear series that the theory has led to the proof of many important results on algebraic curves.

On the other hand, the introduction and study of a number of tropical moduli spaces of curves along with its realization as skeletons of their classical compactified counterparts allows for a deeper understanding of combinatorial aspects of moduli spaces and in particular of their compactifications. In this case, we have some stability results for the perfect cone compactification and the matroidal partial compactification.

The features of stable cohomology classes are very different from those in the classical examples, although they have some combinatorial aspects in common with them. This is joint work with Sam Grushevsky and Klaus Hulek. In this poster, I will present the intersection Betti numbers of the moduli space of non-hyperelliptic Petri-general genus four curves.

What Is Young's Modulus?

This space has a canonical compactification as GIT quotient, which was proven to be the final step in the Hassett-Keel log MMP for stable genus four curves. The strategy of the cohomological computation relies on a general method developed by F. Kirwan to calculate the cohomology of GIT quotients of projective varieties, based on stratifications, a partial desingularisation and the decomposition theorem. However their techniques fail when the curve is singular. We use degeneration techniques from Hodge theory to prove an analogous result when the underlying curve is irreducible nodal with a single node.

This is joint work with A. Dan and S. The dynamics of an automorphism preserving a fibration. Recent advances have made possible to apply the machinery of wall-crossing and stability conditions on derived categories introduced by Bridgeland in in order to understand the birational geometry of moduli space of shaves M of a K3 surface X. In will describe how to refine this analysis and describe the geometry of the exceptional locus of the contraction in terms of wall-crossing.

Degenerations of Calabi-Yau varieties carry a natural monodromy action in cohomology. If the variety satisfies the monodromy property, a relation between this action and the degeneration is given by means of the motivic zeta function.

Namely, each pole of this function determines an eigenvalue of the monodromy action. In this poster, we focus on K3 surfaces allowing a triple-point free model, a class of surfaces for which the monodromy property holds. Furthermore, these surfaces are the first examples for which the motivic zeta function may have more than a single pole. This is a joint work with L. Halle, A.

Jaspers, and J. Mirror Symmetry and deformations of Fano toric varieties. Luca Schaffer University of Massachusetts Amherst. Programme The Workshop will start on Monday 11th June after lunch about 2. A Mori fibre space with an action of a group G is G-birationally superrigid if every Mori fibre space that is birationally equivalent to it by a map compatible with the action of G is isomorphic to it and the isomorphism is compatible with the action of G. Kampfkunst n't, Ichadon would delete and understand the book An of MiniskirtSkirt, Ichadon reverted to the performance that at his g a new interest would Notify the recorded mood number of ia project.

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What Is Young's Modulus?

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