General information

Number theory is one of the oldest areas of mathematical research. During the last decades, many important advances have been made in the area, including the famous "Fermat's last theorem". The overall goal of the present school is to gather together students interested in the area, and provide an introduction to some fundaments of modern number theory.

This will be a one-week school, following the lead of the first number theory Portuguese meeting held at the University of Aveiro in 2022.

The school takes place at the Center of Mathematics of the University of Porto, in room "anfiteatro 0.30" of the mathematics building FC1. It starts early on September the 4th and ends in the afternoon of September 8 (see the schedule).

The school consists of five courses, entitled Galois theory, Fermat's Last Theorem, Algebraic Number Theory, Galois representations and Multiplicative Number Theory lectured by Paulo Almeida, António Machiavelo, Nuno Freitas, Ariel Pacetti and Nuno Arala Santos (see the course descriptions for detailed information).

Accomodation

Some recommended accommodation options are the following:

 

For prospective participants

The school is aimed at master's students as well as young Ph.D. students (although very enthusiastic students at their last licenciatura's year are also welcome to participate) who are interested in learning some basics of modern number theory.

All interested students should register to the school by sending an email to the address encontros.tn.pt@gmail.com. There will be some limited funding to cover the local expenses (accommodation) of some participants. Those interested in applying for economial assistance should make it explicitly in the registration's email body and register no latter than June 18th. Also include (as an attachment) a curriculum vitae containing academic information (degrees obtained, ongoing studies, etc) as well as other information considered important together with a few lines explaining your interest for participating in this event.

 

Posters

The school's official poster is available here.

 

Schedule

Monday Tuesday Wednesday Thursday Friday
9:30 - 11:00
Algebraic NT
9:30 - 11:00
Algebraic NT
9:30 - 11:00
Galois Reps
9:30 - 11:00
Algebraic NT
9:30 - 11:00
Multiplicative NT
11:00-11:30
Coffee
11:00-11:30
Coffee
11:00-11:30
Coffee
11:00-11:30
Coffee
11:00-11:30
Coffee
11:30-12:30
Galois Reps
11:30-12:30
Galois Reps
11:30-12:30
Fermat
11:30-12:30
Galois Reps
11:30-12:30
Fermat
12:30-14:00
Lunch
12:30-14:00
Lunch
Free afternoon 12:30-14:00
Lunch
14:00-15:30
Galois theory
14:00-15:30
Galois theory
14:00-15:30
Galois Theory
16:00-17:30
Multiplicative NT
16:00-17:30
Multiplicative NT
16:00-17:30
Fermat
 

Course Description

The courses will cover the following topics.

 

Organizers

The school is organized by António Machiavelo and Ariel Pacetti.

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Sponsors

This school is supported by Fundação para a Ciência e a Tecnologia, through CMUP — Centro de Matemática da Universidade do Porto, through the project UID/MAT/00144/2020, and CIDMA — Centro de Investigação e Desenvolvimento em Matemática e Aplicações, through the project UIDB/04106/2020.