Department of

# Mathematics

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

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     August 2021           September 2021          October 2021
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1  2  3  4  5  6  7             1  2  3  4                   1  2
8  9 10 11 12 13 14    5  6  7  8  9 10 11    3  4  5  6  7  8  9
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29 30 31               26 27 28 29 30         24 25 26 27 28 29 30
31


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).