Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-DARBOUX
Domaines hep-th
Date Jeudi 6 Fevrier 2025
Heure 11:00
Institut LPTHE
Salle bibliothèque du LPTHE, tour 13-14, 4eme étage
Nom de l'orateur Park
Prenom de l'orateur Hyeonjun
Addresse email de l'orateur
Institution de l'orateur KIAS
Titre Darboux theorem for shifted symplectic stacky fibrations
Résumé The Darboux theorem states that symplectic manifolds are locally cotangent bundles. An analog in derived algebraic geometry is that shifted symplectic schemes are locally twisted cotangent bundles. This can be applied to moduli spaces of sheaves on Calabi-Yau varieties, which is a crucial ingredient in Donaldson-Thomas theory. In this talk, I will present a generalization of the derived Darboux theorem to families and to stacks. As an application of the family version, I will discuss counting surfaces on CY4, which is joint work with Younghan Bae and Martijn Kool. As an application of the stacky version, I will explain the construction of cohomological Hall algebras for CY3, which is joint work with Tasuki Kinjo and Pavel Safronov.
Numéro de preprint arXiv 2406.12838
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