Vendredi 5 novembre 2010
Une séance "hors les murs" du séminaire SymplectiX avec un unique exposé
11 h Andreas Ott (IHES et ETH Zürich) :
Gauged Gromov-Witten invariants via perturbation of the symplectic vortex equations
Abstract: Gauged Gromov-Witten invariants are the gauge-theoretic generalization of Gromov-Witten invariants for symplectic manifolds equipped with a Hamiltonian Lie group action. These invariants are defined by counting solutions of the symplectic vortex equations. They were introduced by Cieliebak, Gaio, and Salamon for actions of arbitrary compact Lie groups on aspherical manifolds (i.e. where the symplectic form vanishes on all spherical homology classes) and by Mundet for semi-free circle actions on compact monotone manifolds. The main reason for the additional assumptions are complications in obtaining transversality for the boundary strata of the compactified moduli space of solutions of the vortex equations occurring in the presence of a group action. In this talk, I will present a perturbation scheme for the vortex equations that solves these transversality problems in a natural way, and explain how to define the gauged Gromov-Witten invariants for actions of arbitrary compact Lie groups on monotone symplectic manifolds.
11 h Andreas Ott (IHES et ETH Zürich) :
Gauged Gromov-Witten invariants via perturbation of the symplectic vortex equations
Abstract: Gauged Gromov-Witten invariants are the gauge-theoretic generalization of Gromov-Witten invariants for symplectic manifolds equipped with a Hamiltonian Lie group action. These invariants are defined by counting solutions of the symplectic vortex equations. They were introduced by Cieliebak, Gaio, and Salamon for actions of arbitrary compact Lie groups on aspherical manifolds (i.e. where the symplectic form vanishes on all spherical homology classes) and by Mundet for semi-free circle actions on compact monotone manifolds. The main reason for the additional assumptions are complications in obtaining transversality for the boundary strata of the compactified moduli space of solutions of the vortex equations occurring in the presence of a group action. In this talk, I will present a perturbation scheme for the vortex equations that solves these transversality problems in a natural way, and explain how to define the gauged Gromov-Witten invariants for actions of arbitrary compact Lie groups on monotone symplectic manifolds.
Vendredi 26 novembre 2010
EXCEPTIONNELLEMENT, LA SEANCE DU 26 NOVEMBRE AURA LIEU A CHEVALERET,
DANS LA SALLE 5C03 :
11 h Laurent Stolovitch :
Formes normales Gevrey lisses
Résumé : Nous présenterons des résultats de linéarisation et de mises sous forme normale de germes de champs de vecteurs hyperboliques Gevrey lisses au voisinage d'un point singulier.
DANS LA SALLE 5C03 :
11 h Laurent Stolovitch :
Formes normales Gevrey lisses
Résumé : Nous présenterons des résultats de linéarisation et de mises sous forme normale de germes de champs de vecteurs hyperboliques Gevrey lisses au voisinage d'un point singulier.