Algebra, Arithmetic and Combinatorics of Differential and Difference Equations
Algèbre, arithmétique et combinatoire des équations différentielles et aux différences
28 May – 1 June 2018
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Scientific Committee
Comité scientifique Daniel Bertrand (Université Pierre et Marie Curie) |
Organizing Committee
Comité d’organisation Boris Adamczewski (Université de Lyon) |
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In recent years, there have been several important advances in the theory of differential and other functional equations. This field of research lies at the interface between several areas of mathematics, e.g., number theory, model
theory, combinatorics and automata theory, theoretical physics, theoretical informatics, etc. This conference aims to gather researchers from a variety of backgrounds, whose research is related to the theory of functional equations. We will address theoretical as well as effective aspects. This is an international conference, every interested researcher can apply. |
La théorie des équations différentielles et autres équations fonctionnelles a connu d’importantes avancées ces dernières années. Elle se situe à l’interface de nombreux domaines des mathématiques, dont la théorie des nombres, la théorie des modèles, la combinatoire et la théorie des automates, la physique théorique, l’informatique théorique, etc. L’objectif de cette rencontre est de favoriser les interactions entre mathématiciens issus d’horizons variés et dont les recherches touchent aux équations fonctionnelles. Nous aborderons aussi bien les aspects théoriques qu’effectifs. Il s’agit d’une rencontre internationale, ouverte à toute personne souhaitant y participer.
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Alin Bostan (INRIA Saclay) Automated guess-and-prove for combinatorial functional equations (pdf)
Frits Beukers (Utrecht University) A supercongruence and hypergeometric motives – VIDEO –
Mireille Bousquet-Mélou (Université de Bordeaux) Counting quadrant walks with large steps (pdf)
Xavier Caruso (Université de Rennes) Un théorème de factorisation par les pentes des polynômes de Ore
Thomas Dreyfus (Université de Strasbourg) Algebraic independence among solutions of different functional equations
Gwladys Fernandes (Université de Lyon) Algebraic and linear relations between values of Mahler functions in positive characteristic
Charlotte Hardouin (Université de Toulouse) Galois theory and walks in the quarter plane – VIDEO –
Frédéric Jouhet (Université de Lyon) Congruences modulo cyclotomic polynomials and algebraic independence for q-series
Kiran Kedlaya (University of California) Frobenius structures on hypergeometric equations (pdf)
Pierre Lairez (INRIA Saclay) Computing periods : applications to binomial sums, volumes and K3 surfaces
Alice Medvedev (City University of New York) tba
Marni Mishna (Simon Fraser University) The Classification of Excursions – VIDEO –
Rahim Moosa (University of Waterloo) Around Jouanolou-type Theorem – VIDEO –
Joël Nagloo (City University of New York) Functional Transcendence and some classical ODEs
Alexey Ovchinnikov (City University of New York) Differential elimination, randomization, and applications
Tanguy Rivoal (Université Grenoble Alpes) Exceptional algebraic values of $E$-functions at algebraic points
Pierre Tarrago (Centro de Investigación en Matemáticas) Harmonic functions for alcove random walks of type A
Masha Vlasenko (Polish Academy of Sciences) Gamma functions, monodromy and Apéry constants – VIDEO –
Jacques-Arthur Weil (Université de Limoges) Computing the Galois-Lie algebra of linear differential systems
Michael Wibmer (University of Pennsylvania) Free differential Galois groups
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