Workshops Period III.

June 19, 20, 21

III.6: Symbolic Analysis

Room 125 (corridor 54-55)

Organizers :

Workshop description

The workshop explores algebraic and geometric foundations as well as symbolic algorithms for questions related to differential and difference equations. Favorite topics have included Lie symmetry, differential invariants, moving frames, differential Galois theory, local and closed form solution, normal form algorithms, operator algebras and combinatorics. We wish this workshop to be a forum for ideas, techniques and applications. We thus would like to encourage the speakers to contextualize their contribution for a diverse audience. The conference as a whole should provide several other areas of interest for participants of the Symbolic Analysis workshop.


Semi-plenary speakers
Invited speakers

Preliminary program

This schedule is preliminary and could be updated.

Monday, June 19
14:00 ~ 14:30 Computing the fundamental invariants and equivariants of a finite group
Evelyne Hubert - Inria Méditerranée, France
14:30 ~ 15:00 Integrable systems of the Boussinesq type and their formal diagonalisation
Rafael Hernandez Heredero - Polytechnic University of Madrid, Spain
15:00 ~ 15:30 Regular singular differential equations and free proalgebraic groups
Michael Wibmer - Graz University of Technology, Austria
15:30 ~ 16:00 On Normal Forms in Differential Galois Theory for the Classical Groups
Matthias Seiß - Universität Kassel, Germany
16:30 ~ 17:00 Syzygies and constant rank operators
Lisa Nicklasson - Università di Genova, Italy
17:00 ~ 17:30 Algebraic consequences of the fundamental theorem of calculus in differential rings
Georg Regensburger - University of Kassel, Germany
17:30 ~ 18:00 Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
Jaques-Arthur Weil - Université de Limoges, France
Tuesday, June 20
14:00 ~ 14:30 The generating function of DYZ-like numbers is algebraic
Sergey Yurkevich - Inria Saclay and University of Vienna, Austria
14:30 ~ 15:00 Fast computation of coefficients of algebraic power series over finite fields
Alin Bostan - Inria, France
15:00 ~ 15:30 Mahler discrete residues and summability for rational functions
Yi Zhang - Xi'an Jiaotong-Liverpool University, China
15:30 ~ 16:00 Galois groups for linear integrable systems of differential and difference equations over elliptic curves
Carlos Arreche - UT Dallas, USA
16:30 ~ 17:00 Hahn series and Mahler equations
Julien Roques - Université Lyon 1, France
17:00 ~ 17:30 Differential transcendance and Galois theory
Thomas Dreyfus - CNRS, université de Strasbourg, France
17:30 ~ 18:30 Symbolic Invariant Calculus
Francis Valiquette - Monmouth University, United State of America
Wednesday, June 21
14:00 ~ 15:00 Spectral Picard-Vessiot theory and its applications
Sonia L. Rueda - Universidad Politécnica de Madrid, Spain
15:00 ~ 15:30 A New Equivalence Method
Joël Merker - Paris-Saclay University, France
15:30 ~ 16:00 Developing an Algebraic Theory of Integral Equations
Richard Gustavson - Manhattan College, United States of America


All abstracts

View all abstracts of this workshop.