Homological mirror symmetry for nodal stacky curves

Abstract: In this talk I will explain the proof of homological mirror symmetry where the B-side is a ring or chain of stacky projective lines joined nodally, and where each irreducible component is allowed to have a non-trivial generic stabiliser, generalising the work of Lekili and Polishchuk. The key ingredient of the proof is to match categorical resolutions on the A- and B-sides by identifying them both with an intermediary category given by the derived category of modules of a gentle algebra. I will explain the strategy of constructing these resolutions on the A-- and B--sides, as well as how to deduce homological mirror symmetry from this.

commutative algebraalgebraic geometrynumber theoryrepresentation theory

Audience: advanced learners

UCGEN - Uluslararası Cebirsel GEometri Neşesi

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