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
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 Nov-1 Dec 2020
Part II: 4-5 February 2021
Multiplicativity and Randomness (2365)
Multiplicativité et aléatoire
Part 1: 2-5 November 2020
Part 2: 8-19 February 2021
- 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)
SEMINAIRES DE L'I2M
Robert TICHY
TU Graz & AMU
1 December - 11:15 - 12:15 - CIRM Auditorium A1
Metric Discrepancy Theory
abstract

SEMINAIRE DE THEORIE DES NOMBRES DE L'IMB
29 January 2021
Robert TICHY
Diophantine Equations and Linear Recurrences
 > ORGANIZED IN AUSTRIA
TOPIC : Duffin-Schaeffer and Zaremba Conjectures 
James MAYNARD
University of Oxford
15 September 2020 & 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
I2M-GDAC SEMINAR SERIES
> ORGANIZED AT CIRM
Peter GRABNER
TU Graz
15 September - 11:15 - 12:15
CIRM Auditorium A1
Fourier-Eigenfunctions and Modular Forms
Abstract
Live talk only, broadcasted on the CirmYoutube Channel

SPONSORS OF THIS SEMESTER