Diophantine Problems: Determinism, Randomness, Applications
Problèmes diophantiens: déterminisme, aléatoire, applications
Chair
> ​Prof. Robert Tichy 
​Technische Universität Graz
Robert Tichy is interested in analysis and number theory. A focus of his research lies on asymptotic analysis of discrete structures, arithmetic dynamical systems, diophantine equations and on discrepancy theory. Furthermore he is interested in probabilistic aspects of number theory, quasi Monte-Carlo methods and applications in finance and insurance.
Local Project Leader
> Prof. Joël RIVAT
Aix-Marseille Université
Joël Rivat is Professor at Aix-Marseille University at the I2M (Institut de Mathématiques de Marseille) department. He is a member of the team focusing on Groups, Dynamics, Arithmetics and Combinatorics. His main research interests lie in exponential sums, prime numbers in sparse sequences, additive, multiplicative problems, digital properties of sequences (primes, squares, etc.) and pseudorandom sequences.
SCIENTIFIC PROGRAMME OF THIS SEMESTER
Picture
Semester impacted.
Fourier Eigenfunctions and Modular Forms (2594)
14 September - 2 october 2020
Quasi-Monte Carlo Methods and Applications (2255)
​Méthode de quasi-Monte Carlo et applications
2-6 November 2020
Diophantine Problems, Determinism and Randomness (2256)
Problèmes diophantiens, déterminisme et aléatoire
23-27 November 2020
Discrepancy Theory and Applications (2257)
Théorie de la discrépance et applications
Part I: 30 November 2020
Discrepancy Theory and Applications (2257)
Théorie de la discrépance et applications
​Part II: 4-5 February 2021
​We hope that we will hold some of the activities onsite at CIRM.
Multiplicativity and Randomness (2365)
Multiplicativité et aléatoire
Part 1: 2-5 November 2020 (postponed due to Covid-19)
Part 2: 8-19 February 2021
(currently all postponed / cancelled due to Covid-19 and lockdown)

- Florin Avram (Université de Pau et des Pays de l’Adour)
- Michael Drmota (TU Wien)
- Véronique Maume-Deschamps (Université Lyon 1)
- Christian P. Robert (Université Paris Dauphine)
SEMINAIRE DE THEORIE DES NOMBRES DE L'IMB
> ORGANIZED IN BORDEAUX
29 January 2021
Robert TICHY
Diophantine Equations and Linear Recurrences
> ORGANIZED AT CIRM
Peter GRABNER
TU Graz
15 September - 11:15 - 12:15
CIRM Auditorium A1
Fourier-Eigenfunctions and Modular Forms
Abstract
Manfred Madritsch 
​(Université de Lorraine)
Normal and Non-Normal Numbers
​Abstract
Robert Tichy (TU Graz / Aix-Marseille University)
Metric Discrepancy Theory
​Abstract
SPECIAL ONLINE TALKS SERIES 
Special Research Area (SFB) F55 on Quasi-Monte Carlo Methods: Theory and Applications
Further details, titles and abstracts available at: 
http://www.sfb-qmc.jku.at/sfb-activities/workshops
 
​> ORGANIZED IN AUSTRIA
James MAYNARD
University of Oxford
15 & 16 September 2020 
Introduction to the Duffin-Schaeffer problem;  Abstract, Slides
Introduction to GCD graphs
Abstract,  Slides
Properties of GCD graphs
Abstract,  Slides
Finishing up and overview
​Abstract,  Slides
Alex KONTOROVICH
Rutgers University
21 October 2020 & 22 October 2020
Introduction to Zaremba’s Conjecture,  Abstract
The Orbital Circle Method,  Abstract
The “Beyond Expansion” program, Abstract
Sources of Arithmetic Sphere Packings,  Abstract
Michael LACEY
Georgia Tech
4 February 2021
16:00
Title tba
Ben GREEN
University of Oxford
5 February 2021
16:00
Title tba
SPONSORS OF THIS SEMESTER