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Tri :
Date de référencement
Editeur
Auteur
Titre
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Davesh Maulik - Introduction to Donaldson-Thomas theory (Part 1)
[Ressource pédagogique]
Date de publication :
20110627 |
Auteur(s) :
Maulik Davesh |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
We will give an introduction to Donaldson-Thomas theory and some basic tools
and computations. In the last lecture, we hope to explain some aspects of the proof of the GW/DT
correspondence for toric threefolds....
Référencé le :
20-09-2016
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Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 3)
[Ressource pédagogique]
Date de publication :
20110701 |
Auteur(s) :
Lee Yuan-Pin |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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 concu...
Référencé le :
20-09-2016
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Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 1)
[Ressource pédagogique]
Date de publication :
20110629 |
Auteur(s) :
Lee Yuan-Pin |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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 concu...
Référencé le :
20-09-2016
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Aaron Pixton - The stable pairs equivariant descendent vertex
[Ressource pédagogique]
Date de publication :
20110705 |
Auteur(s) :
Pixton Aaron |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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 ...
Référencé le :
20-07-2016
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Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 4)
[Ressource pédagogique]
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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 ...
Référencé le :
18-07-2016
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Nicolas Perrin - Quantum K-theory of some homogeneous spaces
[Ressource pédagogique]
Date de publication :
20110706 |
Auteur(s) :
Perrin Nicolas |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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. Chapu...
Référencé le :
18-07-2016
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Etienne Mann - Quantum D-module for hypersurfaces
[Ressource pédagogique]
Date de publication :
20110705 |
Auteur(s) :
Mann Etienne |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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 ambi...
Référencé le :
18-07-2016
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Laurent Manivel - The Satake correspondence in quantum cohomology
[Ressource pédagogique]
Date de publication :
20110706 |
Auteur(s) :
Manivel Laurent |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
The Satake isomorphism identi es the irreducible representations of a semisimple
algebraic group with the intersection cohomologies of the Schubert varieties in the ane 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
mi...
Référencé le :
18-07-2016
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Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 2)
[Ressource pédagogique]
Date de publication :
20110630 |
Auteur(s) :
Lee Yuan-Pin |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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 ...
Référencé le :
18-07-2016
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Rahul Pandharipande - Stable quotients and relations in the tautological ring
[Ressource pédagogique]
Date de publication :
20110623 |
Auteur(s) :
Pandharipande Rahul |
Editeur(s) :
Bastien Fanny |
Origine de la fiche :
Canal-u.fr
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
na...
Référencé le :
13-07-2016
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