Seminar announcement 4 December 2020 - Emanuel Carneiro

[Emilia Mezzetti]

SEMINAR ANNOUNCEMENT

As part of the Department of Excellence project, the Department of  
Mathematics and Geosciences of the University of Trieste organizes a  
seminar by Emanuel Carneiro  (Abdus Salam International Center for  
Theoretical Physics), entitled

    "Fourier meets Riemann: some problems in the interface of analysis  
and number theory”

on Friday 4 December, at 2.00 pm, via ZOOM at the link

https://us02web.zoom.us/j/88115000047?


Everybody interested is much welcome to attend.

Abstract: The field of harmonic analysis aims to understand,  
qualitatively and quantitatively, the several types of oscillatory  
phenomena in nature. The Fourier transform (après the work of  
Jean-Baptiste Joseph Fourier 1768 - 1830) is one of the main  
mathematical tools we have for that. The field of analytic number  
theory, as the name suggests, uses tools from analysis to understand  
different types of problems in number theory. One of the central  
objects therein is the Riemann zeta-function, a beautiful bridge  
between the prime numbers and complex analysis, presented in the  
celebrated work of Bernhard Riemann in November, 1859. In this work,  
Riemann proposes what would later become, for many, the Holy Grail of  
modern mathematics: the Riemann hypothesis. Having lived from 1826 to  
1866, Riemann probably never met Fourier in person, and in this  
lecture I will speculate a bit around some themes they could talk  
about, i.e. some problems that lie in the interface of harmonic  
analysis and analytic number theory. And of course, tell a story or  
two about the Riemann hypothesis, on the occasion of its 161th  
birthday this November. The lecture will be aimed to a broad audience,  
with only a minimal background in analysis.




-- 
Emilia Mezzetti
Professore di Geometria/Professor of Geometry
Coordinatrice del Corso di Studi in Matematica/Coordinator of the  
Mathematics Degree Course
Università degli Studi di Trieste / University of Trieste
Dipartimento di Matematica e Geoscienze
Sezione di Matematica e Informatica
Via A.Valerio 12/1
34127 Trieste, Italia

mezzette at units.it
Tel./Ph. +39 040 558 2650
skype: emiliamezzetti