Sato-Tate type distributions for hypergeometric varieties (Speaker: Prof. Ken Ono, University of Virginia)
Sprache des Titels:
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.