Conference Service Mandl

abstract: This workshop on Differential Algebra and Related Topics is the fourth in the series. 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. From traditional studies of differential equations using classical algebraic methods, differential algebra now embodies symbolic computation as well as abstract category and scheme theories. It has interactions with algebraic geometry, combinatorics, mathematical logic, computability, complexity analysis, differential algebraic equations on manifolds, Diophantine geometry, arithmetic differential equations, and more. Related algebraic structures, difference algebra, difference and differential schemes, Rota-Baxter algebra, and quantum differential operator algebra have made much progress, too. Many of these and other topics, as well as applications to cellular biology and control theory, will be presented at this workshop.