Since 1986 the Mathematics section at ICTP has played an important role in fostering mathematics research and education in developing countries. Research is carried out in various fields of Mathematics by the permanent staff, postdocs, and graduate students, as well as by scientific visitors from all over the world.
Typically, the section organizes from 5 to 10 focused activities a year involving an average of 100 participants. These activities are the core of the section's activities and are crucial for disseminating current mathematics knowledge of the highest level as widely as possible.
In addition the Mathematics section, like all the other sections at ICTP, participates in the Diploma program. Since 2011 Diploma students can apply to stay on to work on a PhD in Mathematics in a joint program with SISSA.
The Mathematics section also offers opportunities for postdocs and research fellows; click here for latest announcements.
Once a month, the section organises The Basic Notions Seminar Series to broaden the understanding of some mathematical concepts.
12 May 2022
ICTP celebrates International Year of Basic Sciences for Sustainable Development
23 Mar 2022
Don Zagier named the first holder of ICTP's Ramanujan International Chair
10 Jan 2022
Starting September 2022; deadline extended to 15 January 2022
Europe/Rome
2022-10-06 16:00:00
2022-10-06 17:00:00
On the Riemann zeta-function, Fourier optimization and quadratic forms
Hybrid seminar
Venue: for in-person attendees (Leonardo da Vinci, Lecture room D diploma area, terrace level).
For virtual attendees:
https://zoom.us/meeting/register/tJMqceupqjwrEtST6ofrgimqe-EDKj-7fGCr
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: We will discuss several problems at the interface of analytic number theory and Fourier analysis, involving the distribution of values and zeros of the Riemann zeta-function, and also the distribution of integers and primes represented by quadratic forms. First, we discuss Selberg's celebrated central limit theorem, which roughly states that the logarithm of the Riemann zeta-function is normally distributed on the critical line. We will discuss related joint works with Andrés Chirre and with Meghann Moriah Lugar and Micah B. Milinovich. In particular, we discuss our proof of a conjecture of Berry (1988), conditional on RH and on a strong version of the pair correlation conjecture. Finally, we also discuss a Fourier analysis approach to the study of integers and primes represented by binary quadratic forms -- a classical problem going back to Fermat (joint work with Andrés Chirre).
Hybrid seminar
ICTP
pio@ictp.it
6 Oct 2022
» On the Riemann zeta-function, Fourier optimization and quadratic forms
Europe/Rome
2023-02-27 07:00:00
2023-03-03 21:00:00
Learning Workshop on BPS States and 3-Manifolds | (smr 3818)
ICTP
ICTP
pio@ictp.it
27 Feb 2023
- 3 Mar 2023
» Learning Workshop on BPS States and 3-Manifolds | (smr 3818)
Every year the Mathematics Group offers research opportunities for outstanding mathematicians from developing countries, for short and long-term visits, as well as postdoctoral fellowships, through the Mathematics Research Fellowships programme. Other research and education opportunities in mathematics are available through the ICTP's Postgraduate Diploma Programme as well as its Associateship Scheme.
