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SUMMARY:Small gaps between zeros of the Riemann zeta-function
DTSTART:20220928T140000
DTEND:20220928T150000
DTSTAMP:20261004T210026Z
UID:19e1bf5a03d331df3c26e4155e12e5cbf9d97f69190192b612801aef
CATEGORIES:Conferences - Seminars
DESCRIPTION:Caroline Turnage-Butterbaugh (Carleton College)\nLet $0 < \\ga
 mma_1 \\le \\gamma_2 \\le \\cdots $ denote the ordinates of the complex ze
 ros of the Riemann zeta-function function in the upper half-plane. The ave
 rage distance between $\\gamma_n$ and $\\gamma_{n+1)$ is $2\\pi / \\log \\
 gamma_n$ as $n\\to \\infty$. An important goal is to prove unconditionally
  that these distances between consecutive zeros can be much\, much smaller
  than the average spacing for a positive proportion of zeros. We will disc
 uss the motivation behind this endeavor\, progress made assuming the Riema
 nn Hypothesis\, and recent work with A. Simonič and T. Trudgian to obtain
  the first unconditional result that holds for a positive proportion of ze
 ros.
LOCATION:GR A3 31 https://plan.epfl.ch/?room==GR%20A3%2031
STATUS:CONFIRMED
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