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Supercongruences for rigid Calabi--Yau threefolds of hypergeometric type

Posted in
Noriko Yui
Queen's University, Kingston/MPI
Wed, 2017-06-07 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We establish the supercongruences for the fourteen
rigid hypergeometric Calabi--Yau threefolds defined
over the rational numbers. The existence of such supercongruences
was conjectured (based on numerical evidence) by
F. Rodriguez-Villegas in 2003.

This is joint work with Ling Long, Fang-Ting Tu
and Wadim Zudilin.

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