Séminaires : Géométrie énumérative

Equipe(s) : aa,
Responsables :Penka Georgieva, Ilia Itenberg.
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Description

Orateur(s) Dimitri Zvonkine - Laboratoire de Mathématiques de Versailles,
Titre Gromov-Witten invariants of complete intersections
Date09/12/2021
Horaire16:00 à 17:00
Diffusion
RésumeWe present an algorithm that allows one to compute all Gromov-Witten (GW) invariants of all complete intersections. The main tool is Jun Li's degeneration formula that expresses GW invariants of one complete intersection via GW invariants of several simpler complete intersections. The main problem is that the degeneration formula does not apply to primitive cohomology classes. To solve this problem we introduce simple nodal GW invariants, show that they can always be computed by degeneration, and then prove that one can recover all GW invariants with primitive cohomology insertions from simple nodal GW invariants. Joint work with H. Arguz, P. Bousseau, and R. Pandharipande.
Salle15-16-413
AdresseJussieu
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