Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

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) OPEN

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