Algorithmic Combinatorics Seminar

Title: Sato-Tate type distributions for hypergeometric varieties

Speaker: Prof. Dr. Ken Ono
(University of Virginia, U.S.A.)

Time and Location: Wednesday, March 23, 2022, 3 p.m.
Zoom presentation

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.