Algebraic and Algorithmic Aspects of Differential and Integral Operators Session
ONLINE
Organizers
Moulay Barkatou (University of Limoges, XLIM DMI, Limoges, France)
Thomas Cluzeau (University of Limoges, CNRS, XLIM DMI, Limoges, France)
Clemens Raab (Johannes Kepler University Linz, Austria)
Georg Regensburger (Johannes Kepler University Linz, Austria)
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 (e.g. as Green’s operators for initial/boundary value problems).
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.
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.
Schedule
Saturday, 24 July, CEST 15:30-20:30
15:30: Vladimir Bavula
16:00: Ngo Quoc Hoan
16:30: Manfred Buchacher
17:00: Cyrille Chenavier
17:30: Thierry Combot
18:00: Break
18:30: Thomas Dreyfus
19:00: Li Guo
19:30: Marc Härkönen
20:00: Mark van Hoeij
Tuesday, 27 July, CEST 15:30-20:00
15:30: Shaoshi Chen
16:00: Hao Du
16:30: Yi Zhang
17:00: Clemens Hofstadler
17:30: Break
18:00: Alexander Levin
18:30: Emma Previato
19:00: Sonia Rueda
19:30: Thibaut Verron
Speakers and Talks
Vladimir Bavula
The global and weak global dimensions of algebras of integro-differential operators
Abstract
Manfred Buchacher
The Kernel-Method and Automated Positive Part Extraction
Abstract
Shaoshi Chen
Holonomic Polynomial Sequences I: Degree Growth
Abstract
Cyrille Chenavier
Strategies for linear rewriting systems: link with parallel rewriting and involutive divisions
Abstract
Thierry Combot
Symbolic integration on planar differential foliation
Abstract
Thomas Dreyfus
Differential algebraic generating series of walks in the quarter plane
Abstract
Hao Du
Two Complete Reduction Systems for Integration
Abstract
Li Guo
Rota’s Program on Algebraic Operators
Abstract
Marc Härkönen
Linear PDE with constant coefficients
Abstract
Mark van Hoeij
Factoring Difference Operators in Maple 2021
Abstract
Clemens Hofstadler
Automatizing proofs of properties of operators
Abstract
Ngo Quoc Hoan
Towards a Theory of Domains for Harmonic Functions and its Symbolic Counterpart
Abstract
Alexander Levin
Multivariate Bernstein-type Polynomials of Finitely Generated D-Modules
Abstract
Emma Previato
Commutative rings of Differential Operators
Abstract
Sonia L. Rueda
Factoring Third Order Ordinary Differential Operators over Spectral Curves
Abstract
Thibaut Verron
Integral bases of P-recursive operators
Abstract
Yi Zhang
On sequences associated to the invariant theory of rank two simple Lie algebras
Abstract