BIMSA-YMSC Geometry and Dynamics Seminar

Organizer：

Yu-Wei Fan (YMSC)

Speaker：

Omar Kidwai (CUHK)

Time：

Wednesday 13:30-14:30

Oct. 30, 2024

Online：

Zoom Meeting ID: 815 762 8413

Passcode: BIMSA

Title：

Quadratic differentials and Donaldson-Thomas invariants

Abstract：

We recall the relation between quadratic differentials and spaces of stability conditions due to Bridgeland-Smith. We describe the calculation of (refined) Donaldson-Thomas invariants for stability conditions on a certain class of 3-Calabi-Yau triangulated categories defined by Christ-Haiden-Qiu. This category is slightly different from the usual one discussed by Bridgeland and Smith, which in particular allows us to recover a nonzero invariant in the case where the quadratic differential has a second-order pole, in agreement with predictions from the physics literature. Based on joint work with N. Williams.