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SUMMARY:Diagonal pencils and Hasse-Witt invariants - Adriana Salerno (Nati
 onal Science Foundation)
DTSTART:20220720T090000Z
DTEND:20220720T093000Z
UID:TALK175013@talks.cam.ac.uk
DESCRIPTION:Using a natural combinatorial generalization of the Fermat qua
 rtic and the Batyrev mirror symmetry construction\, we obtain a collection
  of K3 surface pencils of generic Picard rank 19 in Gorenstein Fano toric 
 varieties. We characterize point counts on these varieties over finite fie
 lds using Picard-Fuchs equations and classical hypergeometric functions.&n
 bsp\;
LOCATION:Seminar Room 1\, Newton Institute
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