Konferenzservice Mandl

Zusammenfassung: The National Conference in Algebra is the largest national conference in China. It is held every two years. All areas of algebra and their applications will be covered. At the last conference, there were several hundred presentations and over 500 participants. It will be a good opportunity for both the experts and beginning researchers to learn the most recent developments in algebra in China. The conference encourages participants from within and outside of China.

Zusammenfassung: An operad is a device that describes algebraic structures of different varieties in various categories. Instead of studying elements in a particular kind of algebra, the theory of operads studies operations that one can perform on this algebra. Operads and universal algebra have similar origins and ideas. Yet they have their own distinct methods and applications. There are recent interests to understand better the connection between these two important areas of mathematics. We will hold a two-week conference on operad theory, emphasizing the relationship with universal algebra. The first half of the conference will consist of mini-courses that prepare the graduate students and non-experts for the more specialized talks in the second half of the conference. The overall goal of the conference is to bring the participants to the forefront of the current research in these areas.

Zusammenfassung: 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.