Mathematics Colloquium: Jensen-Polya Program for the Riemann Hypothesis and Related Problems

Speaker: Ken Ono, Thomas Jefferson Professor of Mathematics at the University of Virginia and the Asa Griggs Candler Professor of Mathematics at Emory University

Title: Jensen-Polya Program for the Riemann Hypothesis and Related Problems

Abstract: In 1927 Polya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for Riemann's Xi-function. This hyperbolicity had only been proved for degrees d=1,2,3. We prove the hyperbolicity of all (but possibly finitely many) the Jensen polynomials of every degree d. Moreover, we establish the outright hyperbolicity for all degrees d<10^26. These results follow from an unconditional proof of the "derivative aspect" GUE distribution for zeros. This is joint work with Michael Griffin, Larry Rolen, and Don Zagier.

Slides

Time: Friday, September 13, 2019, 3:30-4:20 p.m.

Place: Exploratory Hall, room 4106

Refreshments will be served at 3:00 p.m.