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Based on the foundational works of Joseph Fels Ritt and Ellis Robert Kolchin, 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. The ninth addition of the DART series will be hosted in the School of Mathematics at the University of Leeds. The focus of the meeting will be on differential algebraic equations and the relationship between differential algebra, integrable systems and related applications.

The conference will be followed by the meeting Model-theoretic methods in number theory and algebraic differential equations in Manchester, 3–5 August 2018. See the meeting's website for further information.

Specific topics of 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
  • Integrable systems
  • Integro-differential algebras and Rota-Baxter algebras
  • Analysis, combinatorics and number theory related to differential algebra
  • Polynomial vector fields
  • Computational differential and difference algebras (characteristic sets, closed-form solutions, factorization etc)
  • Applications of differential and difference algebras (control theory, physics, chemistry, biology etc)

Previous DART conferences

  • DART VIII, Linz, Austria, 2017
  • DART VII, CUNY, New York City, USA, 2016
  • DART VI, Beijing, China, 2015
  • DART V, Lille, France, 2013
  • DART IV, Beijing, China, 2010
  • DART III, Rutgers University, Newark, USA, 2008
  • DART II, Rutgers University, Newark, USA, 2007
  • DART I, Rutgers University, Newark, USA, 2000

* Kolchin portrait courtesy of John C. Miller (CUNY).