Affiliation: AIM, Palo Alto
Email: miker@math.utexas.edu
Title Of Talk: The Riemann Hypothesis and Random Matrix Theory
Abstract: In 1972, it was discovered that the Riemann Zeta function behaves statistically like the characteristic polynomial of a large unitary matrix. Since then, various matrix models have been used with stunning success to make hitherto unimaginable predictions concerning the zeros and values of L-functions. These results, which I will discuss, confirm the Polya Hilbert Philosophy- that the Riemann Hypothesis is true because the zeros of the Riemann Zeta function somehow correspond to the eigenvalues of a unitary operator.
Last update made Mon Mar 17 13:14:51 EST 2003.
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