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) Tudor Padurariu - IMJ-PRG,
Titre BPS invariants on C^3 via matrix factorizations
Horaire14:00 à 15:00

BPS invariants are virtual counts of semistable sheaves on a Calabi-Yau threefold, related to other enumerative invariants of interest such as Donaldson-Thomas (DT) or Gromov-Witten. 

In this talk, I will discuss refinements of BPS and DT invariants for the simplest moduli space of sheaves on a Calabi-Yau threefold, that is for moduli of points in C^3. I will first review results about a cohomological refinement and compare them with computations of the cohomology of the Hilbert scheme of points in C^2. I will then discuss results and conjectures about a categorical refinement defined using matrix factorizations.
This is joint work with Yukinobu Toda.