ICTP Basic Notions Seminar - Thursday, 13 October, at 16:00 (Micah B. Milinovich)/hybrid seminar

[ICTP Math Section]

ICTP BASIC NOTIONS SEMINARS 2022

Thursday, 13 October, at 16:00

Hybrid seminar

Venue: for in-person attendees (Leonardo da Vinci, Luigi Stasi seminar 
room).

For virtual attendees: 
https://zoom.us/meeting/register/tJUrdemorzkrGNzSiwZP6ruorx2JnVxwd1zm

Register in advance for this meeting:

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information about joining the meeting.



Speaker: Micah B. Milinovich (University of Mississippi)

Title: An introduction to the Riemann Hypothesis and Gaps between Primes

Abstract: There is a beautiful connection between the prime numbers and 
the zeros of Riemann zeta-function in the complex plane, and 
understanding the distribution of these zeros can lead to remarkable 
consequences in our understanding of the primes. A famous open problem, 
known as the Riemann Hypothesis, states that the non-real zeros of the 
Riemann zeta-function lie on a vertical line. I will motivate this 
conjecture, describe some evidence for it, and describe some of the 
consequences it would lead to in our understanding of the primes. In 
particular, I will describe how to bound on the maximum gap between 
prime numbers assuming the Riemann Hypothesis (which is based on joint 
work with Carneiro and Soundararajan).


https://indico.ictp.it/event/10079/