Talk by Prof. Ono: “Sato-Tate type distributions for hypergeometric varieties”

Speaker: Ken Ono (University of Virginia, U.S.A.)
Date: 23/03/2022
Time: 15:00 - 16:00

Location: Zoom-Login: https://jku.zoom.us/j/94507814483?pwd=OTJRbEdhc1FlKzZZYklSQk9EaGZhdz09 Meeting-ID: 945 0781 4483 Password: HaveFun

Abstract: Studying the statistical behavior of number theoretic quantities is presently in vogue. This lecture will begin with a new look at classical results in number theory from the perspective of arithmetic statistics, which then naturally leads to point counts for hypergeometric varieties. Relying on p-adic analogues of classical formulas of Gauss and Clausen for hypergeometric functions, we obtain the Sato-Tate type distribution for certain elliptic curves and K3 surfaces.