Location
Dates
Presentation
Numeration is an active and developing field of study that encompasses different areas of mathematics and theoretical computer science. The goal of the research school is to introduce graduate students and young researchers to the fundamentals of the geometric, combinatorial, and dynamical aspects of numeration systems as well as to topics of current research. The basic courses of the research school will include lectures on beta expansions, canonical number systems, formal languages, substitutions, and others. This material is among the necessary background for other topics such as fractals and tilings arising from numeration systems (eg: Rauzy fractal), and shiftradix systems. The focus of the courses will be on the interplay between numeration systems and fractals.
Official language of the school: English
Administrative and scientific coordinators
Scientific program
Course 1: "Introduction to Numeration Systems", Shigeki AKIYAMA (Institute of Mathematics, University of Tsukuba, Japan)
Course 2: "Numeration, Finite Automata, and Number theory", Boris ADAMCZEWSKI (Institut Camille Jordan, Université Claude Bernard Lyon, France)
Course 3: "Introduction to Dynamical Systems and Fractal Sets", Pierre ARNOUX (Institut de Mathématiques de Marseille, Université d'Aix-Marseille, France)
Course 4: "Introduction to Ergodic Theory of Numbers", Karma DAJANI (Department of Mathematics, Utrecht University, Netherlands)
Course 5: "Model Sets and Meyer Sets on Substitution Tilings", Jeong-Yup LEE (Department of Mathematics Education, Catholic Kwandong University, South Korea)
Course 6: "Interval Exchange Transformations, Arithmetic Graphs, and the Rauzy fractal", Diana DAVIS (Mathematics Department, Swarthmore College, USA)
Course 7: "Self-affine Tiles and Numeration", Jörg THUSWALDNER (Lehrstuhl für Mathematik und Statistik, Montanuniversität Leoben, Austria)
Course 8: "Recurrence and Frequencies for Subshifts Issued from Numeration Dynamics", Valérie BERTHE (CNRS at the Institut de Recherche en Informatique Fondamentale (IRIF), France)
Website of the school
How to participate
For registration and application to a CIMPA financial support, follow the instructions given here.
Deadline for registration and application: October 6, 2019.