Statut |
Confirmé |
Série |
SEM-DARBOUX |
Domaines |
hep-th |
Date |
Jeudi 16 Mars 2023 |
Heure |
11:00 |
Institut |
LPTHE |
Salle |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
Nom de l'orateur |
Robalo |
Prenom de l'orateur |
Marco |
Addresse email de l'orateur |
|
Institution de l'orateur |
Institut des Mathématiques de Jussieu |
Titre |
Categorification of Donaldson-Thomas invariants and matrix factorizations |
Résumé |
Donaldson-Thomas invariants are numerical invariants of Calabi-Yau manifolds. They
can be described in terms of the local Darboux models for the (-1)-symplectic
geometry of the moduli of coherent sheaves of the Calabi-Yau. Such local models
are given by derived critical loci of functions $f$ on smooth schemes $U$.
In this talk we will explain how to use the moduli space of such Darboux local
models to recover the gluing of the perverse sheaf of vanishing cycles $P_{U,f}$
of Brav-Bussi-Dupont-Joyce-Szendroi categorifying DT-invariants, as well as a new
approach to glue the locally defined categories of matrix factorizations
$MF(U,f)$. This is a joint work with B. Hennion and J. Holstein. |
Numéro de preprint arXiv |
|
Commentaires |
|
Fichiers attachés |
- Robalo_DarbouxSeminar16032023.pdf (694712 bytes)
|