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.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246