Dynamical Systems - Summer School

Gulbenkian Foundation, LISBON — JULY 6 to 10, 2015



sketch for the panel Começar by José de Almada Negreiros - image reproduced with kind permission of the Gulbenkian Foundation

Program

This school comprises three lecture courses (in English) aimed at 1st- or 2nd-year undergraduate students of mathematics, complemented by problem sessions.

Courses

Basic ergodic theory

by Omri Sarig (Weizmann Institute of Science)

Abstract: I will give an overview of the basics of ergodic theory. Topics will include: Preliminaries on measure theory, examples of measure preserving systems, ergodicity, mixing, and (time permitting) entropy.


An introduction to small divisor problems

by Stefano Marmi (SNS, Pisa)

Abstract: The problem of stability of quasiperiodic orbits is one of the oldest in the theory of dynamical systems, with its roots in celestial mechanics. I will try to illustrate the fascinating interplay of analysis, number theory, topology and dynamics which makes this part of the theory of dynamical systems both beautiful and difficult.


Uniform distribution, dynamics, and Diophantine problems

by Vitaly Bergelson (Ohio State University)

Abstract: The goal of these lecture is to demonstrate the multifaceted and mutually perpetuating connections of the notion of uniform distribution of sequences with ergodic theory, topological dynamics, combinatorics, and Diophantine analysis.

Schedule

The opening of the school will be in Sala do Foyer do GA at 9.30 on Monday with the presence of
  • José Ferreira Gomes (Secretary of State for Science and Higher Education)
  • Eduardo Marçal Grilo (Member of the Board of Directors of the Gulbenkian Foundation)
  • Gustavo Granja (Member of the Scientific Committee of the Program "Novos Talentos em Matemática")
Monday, July 6 Tuesday, July 7 Wednesday, July 8 Thursday, July 9 Friday, July 10
9:30-10:00 opening
10:00-11:00 O. SARIG O. SARIG O. SARIG S. MARMI O. SARIG
11:00-11:30 coffee break coffee break coffee break coffee break coffee break
11:30-12:30 S. MARMI O. SARIG V. BERGELSON S. MARMI S. MARMI
12:30-14:00 lunch break lunch break V. BERGELSON
(until 13.30) 		lunch break lunch break
14:00-15:00 V. BERGELSON S. MARMI V. BERGELSON V. BERGELSON
15:00-15:30 coffee break coffee break coffee break coffee break
15:30-17:00 PROBLEM SESSION PROBLEM SESSION PROBLEM SESSION PROBLEM SESSION

Friday, July 10th at 17h30, after the problem session, there will be a meeting in Sala do Foyer do GA where the participants will be able to talk to the lecturers about academic life in a relaxed setting.

Afterwards, there will be a dinner at 8pm at Restaurante d'Bacalhau at Parque das Nações. Here are instructions on how to get to the restaurant from the school venue.

Mini-conference

On Saturday, July 11th, there will be a student mini-conference at the Gulbenkian Foundation.
All school participants are invited to attend this mini-conference. Here is the schedule of the mini-conference.



Assistant

Joel Moreira ()

Venue

The school takes place in the headquarters of the Gulbenkian Foundation (Avenida de Berna, Lisbon), with lectures and problem sessions in Sala do Foyer do GA .