Real variations of stability on K3 categories
Sam Lewis (University of Glasgow)
Wednesday 13th March 16:00-17:00 Maths 110
Abstract
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.
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