Real variations of stability on K3 categories

Sam Lewis (University of Glasgow)

Wednesday 13th March 16:00-17:00 Maths 110


In the study of Bridgeland stability conditions on a triangulated category D, the contractibility of the stability manifold StabD is still open in many cases. Investigating this problem usually involves realising (a connected component of) StabD as a covering space of a complex hyperplane arrangement. Introducing real variations of stability conditions, Anno, Bezrukavnikov, and Mirković provide another perspective, starting directly with a hyperplane arrangement and using its alcoves to parametrise a stability condition. I will give an outline of my work to construct these stability conditions on 2-Calabi--Yau triangulated (K3) categories associated with graphs of affine and hyperbolic type, providing new applications for Coxeter arrangements and intersection arrangements.

Add to your calendar

Download event information as iCalendar file (only this event)