KIAS Geometry Seminar

Monday, February 14th, 1:30 PM
room 1423

Speaker: Sergey Galkin

Affiliation: IPMU

Title: Degenerations, mirros and their mutations


I'll review my work with Alexandr Usnich: given a Laurent polynomial mirror to a Fano variety, we use cluster mutations with potential to construct the infinite hierarchy of mirrors. For projective plane we prove that all its mirrors are belong to the constructed hierarchy, and there is a bijection between this hierarchy and hierarchies of all toric degenerations and all full exceptional collections of vector bundles in derived category of coherent sheaves on the plane.