Conference

Differential and Difference Equations:
Analytic, Arithmetic and Galoisian Approaches

17 - 19 March 2020, Lille
Laboratoire Paul Painlevé



Program

See
Program with abstracts

Tuesday, March 17
11h00 Welcome of the participants
12h40 Lunch
14h30-15h20 Jacques SAULOY (Toulouse, France): Correspondance de Riemann-Hilbert pour les équations aux q-différences
15h30-16h20 Julien ROQUES (Lyon, France):TBA
16h20-16h50 Coffee break
16h50-17h40 Alberto LASTRA (Alcala de Henares, Spain): On the asymptotic behavior of the solutions of a family of singularly perturbed problems

Wednesday, March 18
9h30-10h20 Boris ADAMCZEWSKI (Lyon, France):Mahler's method in several variables: the theory of regular singular systems
10h30-11h20 Guy CASALE (Rennes, France): Ax-Lindemann-Weierstrass for solution of Schwarzian equations
11h20-11h50 Coffee break
11h50-12h40 Thomas DREYFUS (Strasbourg, France):Differential transcendance and special functions
12h40 Lunch
14h30-15h20 Reinhard SCHAEFKE (Strasbourg, France): On a certain Perron-Frobenius equation
15h30-16h20 Irina GORYUCHKINA (Moscow, Russia): On the convergence of formal series solutions of algebraic ODEs
16h20-16h50 Coffee break
16h50-17h40 Sergio CARRILLO (Bogota, Colombia): Gevrey growth in analytic functions of formal solutions of holomorphic PDEs

19h00 Conference Dinner

Thursday, March 19
9h30-10h20 Tanguy RIVOAL (Grenoble, France): TBA
10h30-11h20 Lucia DI VIZIO (Versailles, France): A survey on the applications of functional Galois theory in combinatorics
11h20-11h50 Coffee break
11h50-12h40 Ilya VYUGIN (Moscow, Russia): Local and Global Inverse Problems for Linear Difference Equations Systems
12h40 Lunch
14h30-15h20 Yousuke OHYAMA (Tokushima, Japan): q-Stokes phenomenon of basic hypergeometric equations with one regular singular point
15h30-16h20 Renat GONTSOV (Mosow, Russia): Solving triangular Schlesinger systems via periods of meromorphic differentials
16h20-16h50 Coffee break
16h50-17h40 Alexis ROQUEFEUIL (Tokyo, Japan): Invariants de Gromov--Witten K-théoriques et équations aux q-différences