Speaker: Takumi Otani (Tsinghua University)
Time: 14:30-15:30, Dec 11, 2025
Venue: room 1329, Building 1 (Section A), New Campus, Shanghai Institute for Advanced Studies, USTC & Tencent Meeting ID: 942 663 0176, password: 202501
A notion of a stability condition on a triangulated category was introduced by Bridgeland, and he proved that the space of stability conditions forms a complex manifold.
For the derived Fukaya-Seidel category associated with an ADE singularity, it is conjectured from the viewpoint of mirror symmetry that the stability space is biholomorphic to the universal deformation (unfolding) space of the singularity.
By construction, the derived Fukaya-Seidel category admits a full exceptional collection that is induced from a deformation of the singularity.
Therefore, it is natural to ask how stability conditions and full exceptional collections are related, in order to construct such a biholomorphism.
Moreover, one can consider this question more generally in the setting of triangulated categories.
In this talk, I will explain a description of the stability space for an acyclic quiver by full exceptional collections, and also give a refined description for orbifold projective lines of domestic type.
For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html
