Workshop Overview
Based on the
foundational works of Ritt and Kolchin since the 1930s, differential
algebra has evolved into an extremely rich subject during the last two
decades. Differential Algebra and Related Topics (DART) is a series of
workshops which offer an opportunity for participants to present
original research, to learn of research progress and new developments,
and to exchange ideas and views on differential algebra and related
topics. DART X is the tenth in this series. The previous DARTs were held
at Newark, NJ (USA) in 2000, 2007 and 2008, Lille
(France) in 2013, Beijing
(China) in 2010 and 2015, New
York City (USA) 2016, Linz
(Austria) and Leeds
(UK) respectively. DART X is supported by NSF Grant DMS-1952694.
Specific topics for the workshop include but are not limited to:
- Algebraic differential and difference equations
- Differential and difference dimension theory
- Differential and difference Galois theory
- Model theoretic aspects of differential algebra
- Differential invariants
- D-module theory and Riemann-Hilbert correspondence
- Exterior differential and integrable systems
- Integro-differential algebras and differential Rota-Baxter
algebras
- Analysis, combinatorics and number theory related to differential
algebra
- Polynomial vector fields
- Rota-Baxter algebra and applications
- Computational differential and difference algebras
(characteristic sets, closed-form solutions, factorization etc)
- Applications of differential and difference algebras (control
theory, physics, chemistry, biology etc)