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Mirror symmetry and log del Pezzo surfaces

May 16, 2024 @ 10:30 am - 11:30 am

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.


May 16, 2024
10:30 am - 11:30 am
Event Category:


Charles Doran
Iacopo Brivio


CMSA Room G10
CMSA, 20 Garden Street
Cambridge, MA 02138 United States
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