Statut | Confirmé |
Série | SEM-DARBOUX |
Domaines | hep-th,math.AG |
Date | Jeudi 7 Mars 2024 |
Heure | 11:00 |
Institut | LPTHE |
Salle | bibliothèque du LPTHE, tour 13-14, 4eme étage |
Nom de l'orateur | Padurariu |
Prenom de l'orateur | Tudor |
Addresse email de l'orateur | |
Institution de l'orateur | Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay |
Titre | Quasi-BPS categories for K3 surfaces |
Résumé | BPS invariants and cohomology are central objects in the study of (Kontsevich- Soibelman) Hall algebras or in enumerative geometry of Calabi-Yau 3-folds. In joint work with Yukinobu Toda, we introduce a categorical version of BPS cohomology for local K3 surfaces, called quasi-BPS categories. When the weight and the Mukai vector are coprime, the quasi-BPS category is smooth, proper, and with trivial Serre functor etale locally on the good moduli space. Thus quasi-BPS categories provide (twisted) categorical (etale locally) crepant resolutions of the moduli space of semistable sheaves on a K3 surface for generic stability condition and a general Mukai vector. Time permitting, I will also discuss a categorical version of the \chi-independence phenomenon for BPS invariants. |
Numéro de preprint arXiv | |
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