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Computational Differential and Difference Algebra and its Applications
Organizers:
Organizers:
Alexander Levin (The Catholic University of America, Washington, D.C., USA)
Alexey Ovchinnikov (CUNY Queens College and CUNY Graduate Center, New York, NY, USA)
Daniel Robertz (RWTH Aachen University, Aachen, Germany)
Talks:
Talks:
V. V. Bavula, Classification of prime ideals and simple modules of the Weyl algebra A1 in prime characteristic
Rida Ait El Manssour, Gleb Pogudin, Multiplicity of arc spaces of fat points
Antoine Etesse, On the Schmidt-Kolchin conjecture
Alexander Levin, A new type of difference Gröbner bases and their applications
Valery G. Romanovski, Local integrability of polynomial vector fields
Matthias Seiss, Daniel Robertz, Specializations of normal forms in differential Galois theory
V. Ravi Srinivasan, Partha Kumbhakar, Ursashi Roy, A classification of first order differential equations
Objectives:
Objectives:
Algebraic differential and difference equations and systems of such equations arise in many areas of mathematics and in a wide range of subject areas including physics, biology, chemistry, economics, and engineering. One can say that difference equations relate to differential equations as discrete mathematics relates to continuous mathematics. Differential and difference computer algebra concerns the study of systems of differential and difference equations in a constructive way that extends methods and algorithms of commutative algebra and algebraic geometry. The main goal of the session is to discuss recent developments in computational methods of differential and difference algebras, as well as to explore new ideas and approaches oriented toward various applications of these methods.
Topics of the session include, but are not limited to:
Topics of the session include, but are not limited to:
Systems of Differential, Difference and Difference-Differential Algebraic Equations
Differential and Difference Gröbner (Standard) and Involutive Bases
Differential and Difference Characteristic Sets
Triangular Decompositions of Differential and Difference Systems
Differential and Difference Elimination
Algorithmic Generation of Finite Difference Approximations to PDEs
Consistency and Stability Analysis of Finite Difference Approximations
Dimension Characteristics of Differential and Difference Algebraic Structures
Difference Equations over Finite Fields and their Applications
Software Packages for Differential and Difference Algebra
Applications of Differential and Difference Algebra in the Sciences
Submissions:
Submissions:
If you are interested in giving a presentation at this session, please email an abstract to one of the organizers (including both the LaTeX source and a compiled PDF version) by 21 May 2023. We suggest that abstracts will be 1-2 pages, with some references. Detailed information about the conference and a LaTeX template for abstracts will be posted at the ACA 2023 web page .
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