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Session S35 - Moduli Spaces in Algebraic Geometry and Applications

Tuesday, July 20, 19:20 ~ 20:00 UTC-3

Some Applications of Bridgeland Stability Conditions

Aaron Bertram

University of Utah, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

A Bridgeland stability condition on a triangulated category can be thought of as a natural generalization of the Mumford slope stability of vector bundles on a Riemann surface. Inspired by mirror symmetry, stability conditions have been shown to have useful applications to problems in classical algebraic geometry. In this talk, we discuss two such applications: to the stability of restrictions of stable bundles to hypersurfaces (e.g. from a K3 surface to a curve on the surface), following work of Feyzbakhsh and to Torelli theorems for Kuznetsov kernels of certain Fano threefolds, following the work of several authors.

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