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 | |
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