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.
Speakers
Semi-plenary speakers
- Rueda, Sonja L. - Polytechnic University of Madrid, Spain
- Valiquette, Francis - Monmouth University, USA
Invited speakers
- Arreche, Carlos - UT Dallas, USA
- Bostan, Alin - INRIA Saclay Île-de-France, France
- Dreyfus, Thomas - University of Strasbourg, France
- Gustavson, Richard - Manhattan College, USA
- Hernández Heredero, Rafael - Polytechnic University of Madrid, Spain
- Hubert, Evelyne - INRIA Méditérranée, France
- Merker, Joël - Paris-Saclay University, France
- Nicklasson, Lisa - University of Genoa, Italy
- Regensburger, Georg - University of Kassel , Gemany
- Roques, Julien - Université de Lyon 1, France
- Seiss, Matthias - University of Kassel, Germany
- Weil, Jacques-Arthur - Université de Limoges, France
- Wibmer, Michael - Graz University of Technology, Austria
- Yurkevich, Sergey - University of Vienna, Austria
- Zhang, Yi - Xi'an Jiaotong-Liverpool University, China
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 |