Workshop on Combinatorics, Number Theory and Dynamical Systems

Workshop on Combinatorics, Number Theory and Dynamical Systems

Minicourses

 

In the two weeks prior to the workshop, from August 5th to August 16th, there will be two minicourses. The purpose of the minicourses is to introduce Ph.D. students and researchers to two prominent areas of research in dynamical systems and ergodic theory, namely Ratner’s theory and Ergodic Ramsey Theory. The idea is to develop the basics and discuss the main results in these areas. 

The lectures of the workshop will overlap many of the topics discussed in the minicourses, thus we encourage those interested in the workshop to attend the minicourses. Below we list the tentative syllabus.

Dynamics Beyond Uniform Hyperbolicity
Lectures on Ratner's Theory
Yuri Lima

Lecture 01 - 06/08/2013 - DOWNLOAD
Lecture 02 - 07/08/2013 - DOWNLOAD
Lecture 03 - 08/08/2013 - DOWNLOAD
Lecture 04 - 09/08/2013 - DOWNLOAD

Introduction to Ergodic Ramsey Theory
Ergodic Ramsey theory
Vitaly Bergelson

Lecture 01 - 12/08/2013 - DOWNLOAD
Lecture 02 - 13/08/2013 - DOWNLOAD
Lecture 03 - 14/08/2013 - Parte 1 DOWNLOAD - Parte 2 DOWNLOAD
Lecture 04 - 16/08/2013 - DOWNLOAD

Dynamics Beyond Uniform Hyperbolicity
Lectures on Ratner's Theory
Alex Eskin

Lecture 01 - 13/08/2013 - DOWNLOAD
Lecture 02 - 15/08/2013 - DOWNLOAD

Palestras

Nome: Vitaly Bergelson (Ohio State University, USA)
Título: Theoryproblems in Ergodic Ramsey Some recent results and open
Dia: 19/08/2013 - Hora: 11:00 - 12:00
DOWNLOAD

Nome: Yoshiharu Kohayakawa (USP, Brazil)
Título: Extremal problems for random discrete structures
Dia: 19/08/2013 - Hora: 14:30 - 15:30
DOWNLOAD

Nome: Boris Adamczewski (CNRS, France)
Título: A problem about Mahler functions
Dia: 19/08/2013 - Hora: 15:30 - 16:30
DOWNLOAD

Nome: Ali Messaoudi (UNESP - S.J. do Rio Preto, Brazil)
Título: Adding machine and Julia sets
Dia: 19/08/2013 - Hora: 17:00 - 18:00
DOWNLOAD

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Nome: Harald Helfgott (CNRS, France)
Título: The ternary Goldbac conjectureh
Dia: 20/08/2013 - Hora: 11:00 - 12:00
DOWNLOAD

Nome: Pierre Arnoux (Université Aix-Marseille, France)
Título: On Rauzy gasket
Dia: 20/08/2013 - Hora: 14:30 - 15:30
DOWNLOAD

Nome: Julien Cassaigne (CNRS, France)
Título: Which Arnoux-Rauzy words are 2-balanced?
Dia: 20/08/2013 - Hora: 15:30 - 16:30
DOWNLOAD

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Nome: János Pintz (Alfréd Rényi Institute of Mathematics, Hungary)
Título: Arbitrarily long arithmetic progressions of generalized twin primes
Dia: 21/08/2013 - Hora: 11:00 - 12:00
DOWNLOAD

Nome: Máté Wierdl (University of Memphis, USA)
Título: Random differences in arithmetic progressions
Dia: 21/08/2013 - Hora: 14:30 - 15:30
DOWNLOAD

Nome: Miguel Walsh (Universidad de Buenos Aires, Argentina)
Título: Ill-distributed sets and discrete algebraic structure
Dia: 21/08/2013 - Hora: 15:30 - 16:30
DOWNLOAD

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Nome: Artur Avila (IMPA, Brazil/CNRS, France) 
Título: The billiard on the regular polygon
Dia: 22/08/2013 - Hora: 11:00 - 12:00
DOWNLOAD

Nome: Sébastien Ferenczi (IMPA, Brazil/CNRS, France)
Título: A self-dual induction for interval exchange transformation
Dia: 22/08/2013 - Hora: 14:30 - 15:30
DOWNLOAD

Nome: Barak Weiss (Tel Aviv University, Israel)
Título: Badly approximable vectors on fractals
Dia: 22/08/2013 - Hora: 15:30 - 16:30
DOWNLOAD

Nome: Elon Lindenstrauss  (Hebrew University, Israel)
Título: An effective proof of the Oppenheim Conjecture
Dia: 22/08/2013 - Hora: 17:00 - 18:00
DOWNLOAD

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Nome: Alex Eskin (University of Chicago, USA)
Título: The SL(2;R) action on Moduli space
Dia: 23/08/2013 - Hora: 11:00 - 12:00
DOWNLOAD

Nome: Albert Fisher (USP, Brazil)
Título: A proof of Moeckel's theorem on continued fractions
Dia: 23/08/2013 - Hora: 14:30 - 15:30
DOWNLOAD

Nome: Arek Goetz (San Francisco State University, USA)
Título: Combinatorial and integer properties of two dimensional piecewise rotations
Dia: 23/08/2013 - Hora: 15:30 - 16:30
DOWNLOAD

Nome: Nilson Bernardes (UFRJ, Brazil)
Título: Generic dynamics of the Cantor space
Dia: 23/08/2013 - Hora: 17:00 - 18:00
DOWNLOAD

Conferência Magna


Nome: Elon Lindenstrauss  (Hebrew University, Israel)
Título: Homogeneous dynamics and diagonalizable actions
Dia: 20/08/2013 - Hora: 17:00 - 18:00
DOWNLOAD

 

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