Séminaires : Géométrie énumérative

Equipe(s) : aa, tga,
Responsables :Penka Georgieva, Elba Garcia-Failde, Ilia Itenberg, Alessandro Chiodo
Email des responsables : penka.georgieva@imj-prg.fr
Salle : 1516 - 413
Adresse :Jussieu

URL: https://webusers.imj-prg.fr/~penka.georgieva/EGSeminar.html

Orateur(s) Renata Picciotto - Columbia University,
Titre Stable maps with fields to a projective variety
Horaire16:00 à 17:00
RésumeIt is well-known that genus zero Gromov-Witten invariants of a subvariety Z⊂X can be recovered, in many cases, from invariants of X by studying obstruction bundles. Unfortunately, this result fails in general for higher genus invariants. The moduli space of stable maps with p-fields was first introduced by Huai-Liang Chang and Jun Li, who proved a comparison theorem relating the count of stable maps with p-fields to projective space to higher genus Gromov-Witten invariants of the quintic threefold. The original construction has since seen various generalizations and applications. I will give some background and discuss a very general version of the construction of stable maps with p-fields and of the comparison theorem.
Salle1516 - 413