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# Documents  14F05 | enregistrements trouvés : 6

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## Post-edited  Wall-crossing for Donaldson-Thomas invariants Bridgeland, Tom (Auteur de la Conférence) | CIRM (Editeur )

There is a very general story, due to Joyce and Kontsevich-Soibelman, which associates to a CY3 (three-dimensional Calabi-Yau) triangulated category equipped with a stability condition some rational numbers called Donaldson-Thomas (DT) invariants. The point I want to emphasise is that the wall-crossing formula, which describes how these numbers change as the stability condition is varied, takes the form of an iso-Stokes condition for a family of connections on the punctured disc, where the structure group is the infinite-dimensional group of symplectic automorphisms of an algebraic torus. I will not assume any knowledge of stability conditions, DT invariants etc. There is a very general story, due to Joyce and Kontsevich-Soibelman, which associates to a CY3 (three-dimensional Calabi-Yau) triangulated category equipped with a stability condition some rational numbers called Donaldson-Thomas (DT) invariants. The point I want to emphasise is that the wall-crossing formula, which describes how these numbers change as the stability condition is varied, takes the form of an iso-Stokes condition for a family of ...

## Multi angle  Cohomology jump loci and singularities Budur, Nero (Auteur de la Conférence) | CIRM (Editeur )

Cohomology jump loci of local systems generalize the Milnor monodromy eigenvalues. We address recent progress on the local and global structure of cohomology jump loci. More generally, given an object with a notion of cohomology theory, how can one describe all its deformations subject to cohomology constraints? We give an answer in terms of differential graded Lie algebra pairs. This is joint work with Botong Wang.

## Multi angle  A strong hyperbolicity property of locally symmetric varieties Brunebarbe, Yohan (Auteur de la Conférence) | CIRM (Editeur )

We show that all subvarieties of a quotient of a bounded symmetric domain by a sufficiently small arithmetic group are of general type.

## Multi angle  Fourier-Mukai partners of canonical covers in positive characteristic Tirabassi, Sofia (Auteur de la Conférence) | CIRM (Editeur )

We show that surfaces arising as canonical covers of Enriques and bielliptic surfaces do not have any non-trivial Fourier­Mukai partner, extending result of Sosna for complex surfaces. This is a joint work with K. Honigs and L. Lombardi.

## Multi angle  $D$-modules and $p$-curvatures Esnault, Hélène (Auteur de la Conférence) | CIRM (Editeur )

We show relations between rigidity of connections in characteristic 0 and nilpotency of their $p$-curvatures (a consequence of a conjecture by Simpson and of a generalization of Grothendieck's $p$-curvature conjecture).
Work in progress with Michael Groechenig.

## Multi angle  Semi-infinite Hodge structures in noncommutative geometry Shklyarov, Dmytro (Auteur de la Conférence) | CIRM (Editeur )

Homological mirror symmetry asserts that the connection, discovered by physicists, between a count of rational curves in a Calabi-Yau manifold and period integrals of its mirror should follow from an equivalence between the derived Fukaya category of the first manifold and the derived category of coherent sheaves on the second one. Physicists' observation can be reformulated as, or rather upgraded to, a statement about an isomorphism of certain Hodge-like data attached to both manifolds, and a natural first step towards proving the above assertion would be to try to attach similar Hodge-like data to abstract derived categories. The aim of the talk is to report on some recent progress in this direction and illustrate the approach in the context of what physicists call Landau-Ginzburg B-models. Homological mirror symmetry asserts that the connection, discovered by physicists, between a count of rational curves in a Calabi-Yau manifold and period integrals of its mirror should follow from an equivalence between the derived Fukaya category of the first manifold and the derived category of coherent sheaves on the second one. Physicists' observation can be reformulated as, or rather upgraded to, a statement about an isomorphism of certain ...

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