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Geometry, Symmetry and Physics Seminar

Mirrors of the Johnson-Kollar series

Giulia Gugiatti, Imperial College

Location:  DIMACS 431
Date & time: Thursday, 13 February 2020 at 2:00PM - 3:00PM

I will construct LG mirrors for the Johnson-Kollar series of anticanonical del Pezzo surfaces in weighted projective 3-spaces. The main feature of these surfaces is that their anticanonical linear system is empty, thus they fall outside of the range of the known mirror constructions. For each of these surfaces, the LG mirror is a pencil of hyperelliptic curves. I will exhibit the regularised I-function of the surface as a period of the pencil and I will sketch how to construct the pencil starting from a work of Beukers, Cohen, and Mellit on finite hypergeometric functions. This is joint work with Alessio Corti. 

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