One formulation of mirror symmetry predicts (omitting a few adjectives) a 1-1 correspondence between equivalence classes of certain lattice polygons and deformation families of certain del Pezzo surfaces.
Lattice polygons corresponding to smooth Del Pezzo surfaces are called T-polygons, and these have been classified by Kasprzyk-Nill-Prince using combinatorial methods. I will sketch a new geometric proof of their classification result.
This video is part of the 3CinG annual meeting that took place in Warwick in September 2021.
