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SUMMARY:Mirrors of the Johnson-Kollár series - Giulia Gugiatti\, Imperial
  College London
DTSTART:20200122T141500Z
DTEND:20200122T151500Z
UID:TALK134431@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:I will construct LG mirrors for the Johnson-Kollár series of 
 anticanonical del Pezzo surfaces in weighted projective 3-spaces.\nThe mai
 n feature of these surfaces is that their anticanonical linear system is e
 mpty. Thus they fall outside of the range of the known mirror construction
 s.\nFor each of these surfaces\, the LG mirror is a pencil of hyperellipti
 c curves. I will exhibit the regularised I-function of the surface as a pe
 riod of the pencil and I will sketch how to construct the pencil starting 
 from a work of Beukers\, Cohen\, and Mellit on finite hypergeometric funct
 ions. This is joint work with Alessio Corti.
LOCATION:CMS MR13
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