SS10 - Algebraic and Algorithmic Aspects of Differential and Integral Operators Session
link to the session's webpage
The algebraic/symbolic treatment of differential equations is a flourishing field, branching out in a variety of subfields committed to different approaches. In this session, we want to give special emphasis to the operator perspective of both the underlying differential operators and various associated integral operators.
In particular, we invite contributions in line with the following topics:
- Symbolic Computation for Operator Algebras
- Factorization of Differential/Integral Operators
- Linear Boundary Problems and Green’s Operators
- Initial Value Problems for Differential Equations
- Symbolic Integration and Differential Galois Theory
- Symbolic Operator Calculi
- Algorithmic D-Module Theory
- Rota-Baxter Algebra
- Differential Algebra
- Discrete Analogs of the above
- Software Aspects of the above
If you are interested in joining the session, please contact us.
Previous ACA sessions were held at
- Hagenberg 2008
- Montréal 2009
- Vlora 2010
- Houston 2011
- Sofia 2012
- Malaga 2013
- New York 2014
- Kalamata 2015
- Kassel 2016
- Santiago de Compostela 2018
- Montréal 2019
- ONLINE 2021,
- Warsaw 2023
We have published an MCS Special Issue based on the 2008-10 sessions and a Springer LNCS Postproceedings Volume based on the 2011-12 sessions.
We have co-edited a Special Issue with Alexey Ovchinnikov on Computational Aspects of Differential/Difference Algebra and Integral Operators for the journal Advances in Applied Mathematics based on ACA 2014 and 15.
Session organizers
| Moulay Barkatou (University of Limoges, XLIM, France) |
| Thomas Cluzeau (University of Limoges, CNRS, XLIM, France) |
| Clemens Raab (RICAM, Austrian Academy of Sciences, Linz, Austria) |
| Georg Regensburger. (University of Kassel, Germany) |
Talks
| Manuel Kauers - A Shape Lemma for Ideals of Differential Operators |
| Antonio Jiménez-Pastor - Computing centralizers for linear differential operators |
| Vincel Hoang Ngoc Minh - Solutions of Knizhnik-Zamolodchikov equation by dévissage |
| Clemens Hofstadler - Recent Advancements in Noncommutative Gröbner Basis Software |
| Florian Fürnsinn - An Effective Version of the Grothendieck p-curvature Conjecture for Order One Differential Equations |
| Thierry Combot - Hypergeometric solutions of elliptic difference equations |
| Cyrille Chenavier - Topological closure of formal powers series ideals and application to topological rewriting theory |
| Manfred Buchacher - Separated Variables on Plane Algebraic Curves |
| Hadrien Brochet - Faster multivariate integration in D-modules |
| Peter Krug - Undecidability of Noncommutative Ideal Membership and Counterexamples of Operator Statements |
| Alexander Levin - Generalized Gröbner Bases and Dimension Polynomials of D-modules |
| Tobias Metzlaff - Combining Sparsity and Symmetry Exploitation for SOS-Certificates |
| Bertrand Teguia Tabuguia - Closed forms of power series with hypergeometric-type terms |
| Chia Zargeh - An algorithmic problem for Nijenhuis Lie algebras |
| Yi Zhang - The Expansion Complexity of Ultimately Periodic Sequences over Finite Fields |
| Khalil Ghorbal - The Shimizu–Morioka System Has No Nontrivial Darboux Polynomials |