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Nombre de programmes trouvés : 3561
Cours magistraux

le (1h34m32s)

Claude Viterbo - Théorie des faisceaux et Topologie symplectique (Part 3)

L’utilisation de méthodes de théorie des faisceaux (Kashiwara-Schapira)a été dévelopée ces dernières années par Tamarkin, Nadler, Zaslow, Guillermou, Kashiwara et Schapira. Nous essaierons d’en donner un aperçu à la fois pour démontrer des résultats classiques, comme la conjecture d’Arnold, et pour des résultats nouveaux. The use of methods from the Sheaf Theory (Kashiwara-Schapira) was developped recently by Tamarkin, Nadler, Zaslow, Guillermou, Kashiwara and Schapira. We will try to give an insight of that, in order to prove classical results, such as ...
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Conférences

le (1h30m3s)

Rahul Pandharipande - Stable quotients and relations in the tautological ring

The topic concerns relations among the kappa classes in the tautological ring of the moduli space of genus g curves. After a discussion of classical constructions in Wick form, we derive an explicit set of relations obtained from the virtual geometry of the moduli space of stable quotients. In a series of steps, the stable quotient relations are transformed to simpler and simpler forms. Our nal result establishes a previously conjectural set of tautological relations proposed a decade ago by Faber{Zagier.
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Cours magistraux

le (1h37m8s)

Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 2)

In these lectures, Gromov{Witten theory will be introduced, assuming only basic moduli theory covered in the rst week of the School. Then the Crepant Transformation Conjecture will be explained. Some examples, with emphasis on the projective/global cases, will be given. Note: The construction of virtual fundamental class, which forms the foundation of the GW theory, will be given in Jun Li's concurrent lectures and will not be explained here.
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Conférences

le (52m31s)

Aaron Pixton - The stable pairs equivariant descendent vertex

The counting function associated to the moduli space of stable pairs on a 3-fold X is conjectured to give the Laurent expansion of a rational function. For toric X , this conjecture can be proven by a careful grouping of the box con gurations appearing in the stable pairs equivariant descendent vertex. I will describe this approach and then say a little about how it might also be used to study the Donaldson{Thomas vertex. This talk presents joint work with Rahul Pandharipande.
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Cours magistraux

le (1h2m53s)

Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 4)

In these lectures, Gromov{Witten theory will be introduced, assuming only basic moduli theory covered in the rst week of the School. Then the Crepant Transformation Conjecture will be explained. Some examples, with emphasis on the projective/global cases, will be given. Note: The construction of virtual fundamental class, which forms the foundation of the GW theory, will be given in Jun Li's concurrent lectures and will not be explained here.
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Conférences

le (1h23s)

Laurent Manivel - The Satake correspondence in quantum cohomology

The Satake isomorphism identi es the irreducible representations of a semisimple algebraic group with the intersection cohomologies of the Schubert varieties in the a?ne Grassmannian of the Langlands dual group. In the very special case where the Schubert varieties are smooth, one gets an identi cation between the so-called minuscule representations and the cohomology of the so-called minuscule homogeneous spaces. I will explain how this extends to quantum cohomology.
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Conférences

le (59m4s)

Etienne Mann - Quantum D-module for hypersurfaces

Out of the quantum product of a projective smooth variety, we can construct a vector bundle with a at connection and a pairing, these data are called quantum D-modules. In a recent paper of Iritani, he gives an explicit presentation of this D module for toric varieties. In this talk, we will consider a hypersurface in a toric variety and we give a link between the quantum D module of the ambient variety and the one of the hypersurface. Moreover, in the toric case, we will give a ...
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Conférences

le (1h52s)

Nicolas Perrin - Quantum K-theory of some homogeneous spaces

Quantum K-theory is as quantum cohomology a generalisation of the classical coho- mology algebra of a variety X . In this talk I will explain the connection between the geometry of the moduli space of stable maps, in particular rational connectedness properties, and the computation of structure constants for X a rational homogeneous space. This is based on a joint work with A. Buch, P.-E. Chaput and L. Mihalcea
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