Title of Seminar: Algebraic Geometry Preprint Seminar 2025
Title of Talk: Stability conditions and centre of Aut(D^b(X)) of a K3 surface
Speaker: Jagadish Pine, TIFR, Mumbai
Date: January 27, 2025
Time: 16:00:00 Hours
Venue: AG-77
Abstract: Let X be a smooth, projective K3 surface over the complex numbers. Bridgeland introduced the space of stability conditions Stab(X), on which the group Aut(D^b(X)) acts naturally. Using this action, Bridgeland described a certain subgroup of Aut(D^b(X)) as a group of deck transformations of a covering space. A complete description of Aut(D^b(X)) relies on a conjecture. After introducing stability conditions, we will discuss the centre of Aut(D^b(X)). The proof follows an approach due to Huybrechts, which interprets stability conditions via spherical objects. This talk is based on the arXiv preprint "Central Derived Autoequivalences of K3 Surfaces" by A. Savelyeva. https://doi.org/10.48550/arXiv.2409.16877
Title of Talk: Stability conditions and centre of Aut(D^b(X)) of a K3 surface
Speaker: Jagadish Pine, TIFR, Mumbai
Date: January 27, 2025
Time: 16:00:00 Hours
Venue: AG-77
Abstract: Let X be a smooth, projective K3 surface over the complex numbers. Bridgeland introduced the space of stability conditions Stab(X), on which the group Aut(D^b(X)) acts naturally. Using this action, Bridgeland described a certain subgroup of Aut(D^b(X)) as a group of deck transformations of a covering space. A complete description of Aut(D^b(X)) relies on a conjecture. After introducing stability conditions, we will discuss the centre of Aut(D^b(X)). The proof follows an approach due to Huybrechts, which interprets stability conditions via spherical objects. This talk is based on the arXiv preprint "Central Derived Autoequivalences of K3 Surfaces" by A. Savelyeva. https://doi.org/10.48550/arXiv.2409.16877