## 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
 10:30 - 11:00 Coffee break
 11:00 - 11:30 Štepán Starosta (Czech Technical University in Prague) Generalized Markov constant and continued fractions
 11:30 - 12:00 Julien Leroy (Université de Liège) Asymptotic behavior of regular sequences
 12:00 - 13:30 Lunch break
 13:30 - 15:00 Reem Yassawi (Université Paris Diderot-Paris7) Mini-course: Introduction to automatic sequences
 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

 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
 10:30 - 11:00 Coffee break
 11:00 - 11:30 Robbert Fokkink (TU Delft) Some applications of space filling curves
 11:30 - 12:00 Elise Vandomme (UQÀM) On a conjecture about regularity and $\ell$-abelian complexity
 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

## 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
 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

 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

## 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
 10:30 - 11:00 Coffee break
 11:00 - 11:30 Eric Rowland (Hofstra University) Computing a finite automaton for an integer sequence modulo $p^\alpha$
 11:30 - 12:00 Narad Rampersad (University of Winnipeg) Two results on automatic sequences
 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

## 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
 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

 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
 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

## 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

 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
 15:00 - 15:30 Coffee break
 15:30 - 16:30 Michael F. Singer (North Carolina State University) Automatic sets and difference equations
 16:30 - 17:30 Alice Medvedev (The City College of New York) Nonlinear Mahler equations and the model theory of difference fields

## 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

 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
 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
 16:30 - 17:30 Matthieu Picantin (Université Paris Diderot-Paris7 & CNRS) From automatic semigroups to automaton semigroups

## 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
 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
 11:30 - 12:30 Clemens Müllner (TU Wien) Automatic sequences fulfill the Sarnak conjecture

 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
 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
 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
 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
 10:30 - 11:00 Coffee break
 11:00 - 12:00 Éric Delaygue (Université de Lyon) Algebraic independence of $G$-functions and $q$-series
 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 $\mathbb{Z}_p$
 15:00 - 15:30 Coffee break
 15:30 - 16:30 Evgeniy Zorin (University of York) How bad are automatic numbers?