University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > Log del Pezzo surfaces and how to find them

Log del Pezzo surfaces and how to find them

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If you have a question about this talk, please contact Andrea Brini.

In our never-ending quest for finding evidence of mirror symmetry for Fano varieties, we turn our attention to the surface case. To make things non-trivial, we allow singularities of type 1/3(1,1), which are rigid from the (Q-Gorenstein) deformations point of view. In a joint article with Alessio Corti, we have found 29 families of such surfaces. I will discuss how we found them: it involves some classical MMP , some polygons and some toric geometry. Time permitting, I will sketch Laurent Inversion, the method which allowed us to connect the three in a systematic way.

This talk is part of the Geometry and Mathematical Physics seminar series.

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