### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

SEPTEMBER 13, 2019

**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.

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491