Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, September 28, 2021.

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Tuesday, September 28, 2021

11:00 am in Zoom,Tuesday, September 28, 2021

On Montgomery's pair correlation conjecture: a tale of three integrals.

Emanuel Carneiro (IMPA and ICTP)

Abstract: This talk is about three integrals related to Montgomery's pair correlation conjecture for the zeros of the Riemann zeta-function. The conjectured asymptotic for any of these three integrals is actually equivalent to Montgomery's conjecture. I intend to give a broad perspective on how we can substantially improve the known upper and lower bounds for these integrals using a suitable Fourier optimization framework. This is based on a recent joint work with Chandee, Chirre and Milinovich (https://arxiv.org/abs/2108.09258).