Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th
Date Thursday 6 February 2025
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Park
Speaker's First Name Hyeonjun
Speaker's Email Address
Speaker's Institution KIAS
Title Darboux theorem for shifted symplectic stacky fibrations
Abstract 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.
arXiv Preprint Number 2406.12838
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