Algebraic and Tropical Methods for Solving Differential Equations






Differential equations are typically considered to be a subject of mathematical analysis or, more generally, "continuous mathematics". However, algebraic and discrete methods have been successfully applied to questions about differential equations such as, for example, finding symmetries or closed-form solutions. Recent years have witnessed significant development of constructive aspects of algebraic geometry and tropical algebra including deep theory and efficient algorithms. Exploring connections between these advances and problems about differential equations creates numerous opportunities for applying algebraic and tropical methods in the realm of differential equations. The goal of the school is to introduce the participants to selected constructive methods of algebraic geometry and tropical algebra, present existing applications of these methods to differential equations, and engage the participants into working on open problems in this area.

Official language of the school: English

Administrative and scientific coordinators

Lara Bossinger (Universidad Nacional Autónoma de México,
, )
Gleb Pogudin (Institute Polytechnqiue de Paris,
, )

Scientific program

Course 1: "Differential Algebra", François Boulier (Université de Lille, France)

Course 2: "Computational Commutative Algebra", Matías Bender (Institut für Mathematik, Germany)

Course 3: "Tropical Geometry", Lucia Lopez de Medrano (Universidad Nacional Autónoma de México, Mexico)

Course 4: "Topics in Differential Algebra", Sebastián Falkensteiner (Max Planck Institute for Mathematics in the Sciences, Germany)

Course 5: "Tropical Differential Algebra", Carla V. Valencia Negrete (Iberoamericana, México) & Cristhian Garay (Centro de Investigación en Matemáticas, Mexico)

Course 6: "Newton's Method for Differential Equations", Fuensanta Aroca (Universidad Nacional Autónoma de México, Mexico)

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:  March 4, 2023

Deadline for registration and application: March 4, 2023