Algebraic and Algorithmic Aspects of Differential and Integral Operators Session
Heraklion, Greece, July 14-18, 2025
Organizers
Moulay Barkatou (University of Limoges, XLIM, UMR 7252, F-87000 Limoges, France)
Thomas Cluzeau (University of Limoges, CNRS, XLIM, UMR 7252, F-87000 Limoges, France)
Clemens Raab (RICAM, Austrian Academy of Sciences, Linz, Austria)
Georg Regensburger (University of Kassel, Kassel, Germany)
Scope
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.
Speakers and abstracts
Sergei Abramov
The indicial equation of the product of linear ordinary
differential operators
Abstract
Hadrien Brochet
Faster multivariate integration in D-modules
Abstract
Manfred Buchacher
Separated Variables on Plane Algebraic Curves
Abstract
Cyrille Chenavier
Topological closure of formal powers series ideals
and application to topological rewriting theory
Abstract
Thierry Combot
Hypergeometric solutions of elliptic difference equations
Abstract
Florian Fürnsinn
An Effective Version of the Grothendieck p-curvature
Conjecture for Order One Differential Equations
Abstract
Khalil Ghorbal
The Shimizu–Morioka System has no Nontrivial Darboux
Polynomials
Abstract
Vincel Hoang Ngoc Minh
Solutions of Knizhnik-Zamolodchikov equation by dévissage
Abstract
Clemens Hofstadler
Recent Advancements in
Noncommutative Gröbner Basis Software
Abstract
Antonio Jiménez-Pastor
Computing centralizers for linear differential operators
Abstract
Manuel Kauers
A Shape Lemma for Ideals of Differential Operators
Abstract
Peter Krug
Undecidability of Noncommutative Ideal Membership
and Counterexamples of Operator Statements
Abstract
Alexander Levin
Generalized Gröbner Bases and Dimension Polynomials of
D-modules
Abstract
Tobias Metzlaff
Combining Sparsity and Symmetry Exploitation for SOS-Certificates
Abstract
Yulia Mukhina
New algorithm for differential elimination
based on support bound
Abstract
Bertrand Teguia Tabuguia
Closed forms of power series with hypergeometric-type terms
Abstract
Chia Zargeh
An algorithmic problem for Nijenhuis Lie algebras
Abstract
Yi Zhang
The Expansion Complexity of Ultimately Periodic Sequences
over Finite Fields
Abstract