School and Workshop: Bridges between Automatic Sequences, Algebra and Number Theory

April 24 - May 5, 2017

Program

 

Monday, April 24, 2017

08:30 - 09:00
Registration (Room 5345) and Coffee & Croissants (Room 6245)

Session - School: Bridges between Automatic Sequences, Algebra and Number Theory
Meeting room(s) : 6254

09:00 - 10:30
Christophe Reutenauer
(UQÀM)
Mini-course: From Christoffel words to Markoff numbers
Abstract
10:30 - 11:00
Coffee break
11:00 - 11:30
Štepán Starosta
(Czech Technical University in Prague)
Generalized Markov constant and continued fractions
Abstract

Diapos / Slides
11:30 - 12:00
Julien Leroy
(Université de Liège)
Asymptotic behavior of regular sequences
Abstract

Diapos / Slides
12:00 - 13:30
Lunch break
13:30 - 15:00
Reem Yassawi
(Université Paris Diderot-Paris7)
Mini-course: Introduction to automatic sequences
Abstract
15:00 - 15:45
Coffee break

Session - Chaire Aisenstadt Chair: Lectures on Automata in Number Theory
Meeting room(s) : 6254

15:45 - 17:00
Boris Adamczewski
(CNRS & Université de Lyon)
Representing natural numbers in base 2... and 3
Abstract

Diapos / Slides

17:00
Cocktail Reception

 

Tuesday, April 25, 2017

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 6254

09:00 - 10:30
Christophe Reutenauer
(UQÀM)
Mini-course: From Christoffel words to Markoff numbers
Abstract
10:30 - 11:00
Coffee break
11:00 - 11:30
Robbert Fokkink
(TU Delft)
Some applications of space filling curves
Abstract

Diapos / Slides
11:30 - 12:00
Elise Vandomme
(UQÀM)
On a conjecture about regularity and $\ell$-abelian complexity
Abstract

Diapos / Slides
12:00 - 13:30
Lunch break
13:30 - 15:00
Exercises
15:00 - 15:30
Coffee break
15:30 - 17:00
Reem Yassawi
(Université Paris Diderot-Paris7)
Mini-course: Introduction to automatic sequences
Abstract

 

Wednesday, April 26, 2017

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 6254

09:00 - 10:30
Christophe Reutenauer
(UQÀM)
Mini-course: From Christoffel words to Markoff numbers
Abstract
10:30 - 11:00
Coffee break

Session - Chaire Aisenstadt Chair: Lectures on Automata in Number Theory
Meeting room(s) : 6254

11:00 - 12:00
Boris Adamczewski
(CNRS & Université de Lyon)
Algebraic power series and Diophantine equations
Abstract

12:00 - 13:30
Lunch break


Meeting room(s) : 6254

13:30 - 15:00
Exercises
15:00 - 15:30
Coffee break
15:30 - 17:00
Reem Yassawi
(Université Paris Diderot-Paris7)
Mini-course: Introduction to automatic sequences
Abstract

 

Thursday, April 27, 2017

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 6254

09:00 - 10:30
Christophe Reutenauer
(UQÀM)
Mini-course: From Christoffel words to Markoff numbers
Abstract
10:30 - 11:00
Coffee break
11:00 - 11:30
Eric Rowland
(Hofstra University)
Computing a finite automaton for an integer sequence modulo $p^\alpha$
Abstract
11:30 - 12:00
Narad Rampersad
(University of Winnipeg)
Two results on automatic sequences
Abstract
12:00 - 13:30
Lunch break
13:30 - 15:00
Exercises
15:00 - 15:30
Coffee break
15:30 - 17:00
Yann Bugeaud
(Université de Strasbourg)
Mini-course: Factor complexity, automatic numbers, transcendance and Diophantine approximation
Abstract

 

Friday, April 28, 2017

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 6254

09:00 - 10:30
Christophe Reutenauer
(UQÀM)
Mini-course: From Christoffel words to Markoff numbers
Abstract
10:30 - 11:00
Coffee break

Session - Chaire Aisenstadt Chair: Lectures on Automata in Number Theory
Meeting room(s) : 6254

11:00 - 12:00
Boris Adamczewski
(CNRS & Université de Lyon)
Diagonals of rational functions
Abstract

12:00 - 13:30
Lunch break


Meeting room(s) : 6254

13:30 - 14:30
Exercises
14:30 - 15:00
Jose Manuel Rodriguez Caballero
(UQÀM)
Dyck paths and Diophantine equations
Abstract
15:00 - 15:30
Coffee break
15:30 - 17:00
Yann Bugeaud
(Université de Strasbourg)
Mini-course: Factor complexity, automatic numbers, transcendance and Diophantine approximation
Abstract

 

Monday, May 1, 2017

09:00 - 09:30
Registration (Room 5345) and Coffee & Croissants (Room 6245)

Session - Chaire Aisenstadt Chair: Lectures on Automata in Number Theory
Meeting room(s) : 6254

09:30 - 10:30
Boris Adamczewski
(CNRS & Université de Lyon)
Mahler's method and automatic numbers, I
Abstract

10:30 - 11:00
Coffee break

Session - Workshop: Bridges between Automatic Sequences, Algebra and Number Theory
Meeting room(s) : 6254

11:00 - 12:00
Marion Le Gonidec
(Université de La Réunion)
Context-free sequences
12:00 - 14:00
Lunch break
14:00 - 15:00
Dzmitry Badziahin
(University of Sydney)
Continued fractions of some Mahler functions and applications to Diophantine approximation
Abstract
15:00 - 15:30
Coffee break
15:30 - 16:30
Michael F. Singer
(North Carolina State University)
Automatic sets and difference equations
Abstract
16:30 - 17:30
Alice Medvedev
(The City College of New York)
Nonlinear Mahler equations and the model theory of difference fields
Abstract

 

Tuesday, May 2, 2017

09:00 - 09:30
Coffee & Croissants


Meeting room(s) : 6254

09:30 - 10:30
Yann Bugeaud
(Université de Strasbourg)

10:30 - 11:00
Coffee break

Session - Chaire Aisenstadt Chair: Lectures on Automata in Number Theory
Meeting room(s) : 6254

11:00 - 12:00
Boris Adamczewski
(CNRS & Université de Lyon)
Mahler's method and automatic numbers, II
Abstract

12:00 - 14:00
Lunch break


Meeting room(s) : 6254

14:00 - 15:00
Gwladys Fernandes
(Université de Lyon)
Mahler's method in positive characteristic
Abstract
15:00 - 15:30
Coffee break
15:30 - 16:30
Ines Klimann
(Université Paris Diderot-Paris7 & CNRS)
On the Burnside problem: contribution of the automaton groups
Abstract
16:30 - 17:30
Matthieu Picantin
(Université Paris Diderot-Paris7 & CNRS)
From automatic semigroups to automaton semigroups
Abstract

 

Wednesday, May 3, 2017

08:30 - 09:00
Coffee & Croissants


Meeting room(s) : 6254

09:00 - 10:00
Julien Roques
(Université Grenoble Alpes)
On certain arithmetic properties of Mahler functions
Abstract
10:00 - 10:30
Coffee break
10:30 - 11:30
Anna Medvedovsky
(Max-Planck-Institut für Mathematik)
The Nilpotence Growth Theorem, and applications to mod-$p$ Hecke algebras
Abstract
11:30 - 12:30
Clemens Müllner
(TU Wien)
Automatic sequences fulfill the Sarnak conjecture
Abstract

12:30
Free afternoon

 

Thursday, May 4, 2017

09:00 - 09:30
Coffee & Croissants


Meeting room(s) : 6254

09:30 - 10:30
Andrew Bridy
(Texas A&M University)
Automatic sequences and curves over finite fields
Abstract
10:30 - 11:00
Coffee break
11:00 - 12:00
Kiran Sridhara Kedlaya
(University of California, San Diego)
Automata and (generalized) power series: beyond Christol
Abstract
12:00 - 14:00
Lunch break
14:00 - 15:00
Jeffrey O. Shallit
(University of Waterloo)
Recent results in combinatorics on words using an automatic prover
Abstract
15:00 - 15:30
Coffee break
15:30 - 16:30
Rahim Moosa
(University of Waterloo)
F-sets, Mordell-Lang, and automatic sequences
16:30 - 17:30
Émilie Charlier
(Université de Liège)

 

Friday, May 5, 2017

09:00 - 09:30
Coffee & Croissants


Meeting room(s) : 6254

09:30 - 10:30
Thomas Dreyfus
(Université de Lyon)
Mahler equations, differential Galois theory, and transcendence
Abstract
10:30 - 11:00
Coffee break
11:00 - 12:00
Éric Delaygue
(Université de Lyon)
Algebraic independence of $G$-functions and $q$-series
Abstract
12:00 - 14:00
Lunch break
14:00 - 15:00
Reem Yassawi
(Université Paris Diderot-Paris7)
Diagonals of rational functions and substitution dynamical systems on $\mathbb{Z}_p$
Abstract
15:00 - 15:30
Coffee break
15:30 - 16:30
Evgeniy Zorin
(University of York)
How bad are automatic numbers?
Abstract
16:30 - 17:30
Narad Rampersad
(University of Winnipeg)
Formulas with reversal
Abstract