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Mirror symmetry and log del Pezzo surfaces
May 16, 2024 @ 10:30 am - 11:30 am
![](https://cmsa.fas.harvard.edu/media/Algebraic-Geometry-in-String-Theory-05.16.2024.png)
Algebraic Geometry in String Theory Seminar
Speaker: Franco Rota, University of Glasgow
Title: Mirror symmetry and log del Pezzo surfaces
Abstract: The homological mirror symmetry conjecture predicts a duality, expressed in terms of categorical equivalences, between the complex geometry of a variety X (the B side) and the symplectic geometry of its mirror object Y (the A side). Motivated by this, we study a series of singular surfaces (called log del Pezzo). I will describe the category arising in the B side, using the McKay correspondence and explicit birational geometry. I will discuss early results on the A side, using the language of pseudolattices to focus on the special case of a smooth degree 2 del Pezzo surface. This is joint work with Giulia Gugiatti.