ICTP ANALYSIS SEMINAR - Monday 20 May, at 14:00 - VENUE: Fibonacci Lecture Room (Galileo Guest House) - Emily Quesada-Herrera

[ICTP Math Section]

_ICTP Analysis seminars 2024_


Monday 20 May 2024, at 14:00


VENUE: Galileo Guest House - Fibonacci Lecture Room


Speaker: Emily Quesada-Herrera (TU Graz)


Title: Fourier optimization and the least quadratic non-residue


Abstract: A classical problem in number theory is to estimate the size 
of the least quadratic non-residue modulo a prime. On the other hand, a 
Fourier optimization problem is to optimize a given quantity, given 
restrictions on a function and its Fourier transform. We will discuss 
these two concepts and a framework that connects them, and explore how 
this connection leads to subtle, but conceptually interesting, 
improvements on the best current asymptotic bounds on the former (under 
the Generalized Riemann Hypothesis), given by Lamzouri, Li, and 
Soundararajan. Based on joint work with Emanuel Carneiro, Micah 
Milinovich, and Antonio Ramos.

/All are welcome to attend/

/https://indico.ictp.it/event/10718/
/

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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