Seminar at SMU Delhi
October 5, 2016 (Wednesday) ,
3:30 PM at Webinar
Hypergeometric series and p-adic Gamma function
Abstract of Talk
In this talk, we introduce $p$-adic hypergeometric series and their relations to algebraic curves, in particular, elliptic curves and Dwork hypersurfaces. We also talk about summation identities, transformations and special values of $p$-adic hypergeometric series. Finally, we focus on some recent developments on supercongruences between truncated hypergeometric series and $p$-adic Gamma function, and review certain conjectures on supercongruences.