Towards Homological Mirror Symmetry for log del Pezzo surfaces
Giulia Guggiati (Edinburgh)
Homological Mirror Symmetry (HMS) predicts a correspondence, expressed as a categorical equivalence, between the complex geometry (the B-side) and the symplectic geometry (the A-side) of suitable pairs of objects. In this talk, motivated by HMS, I will consider certain orbifold del Pezzo surfaces falling out of the standard mirror symmetry constructions. I will describe the derived category of the surfaces (their B-side), and discuss early results about the A-side of their Hodge-theoretic mirrors. This is joint work with Franco Rota.
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