Organisers: Gi-Sang Cheon (Sungkyunkwan University, South Korea), Tian-Xiao He (Illinois Wesleyan University) and Paul Barry (WIT, Ireland).

The Riordan group was first defined by Shapiro et al in 1991. This matrix group and its generalizations have many applications, covering such diverse areas as combinatorial identities, lattice path enumeration, and special functions and orthogonal polynomials. The study of this Frechet-Lie group, its subgroups and its elements of finite order are also areas of current research. Riordan arrays have also found applications in such areas as graph theory and partially ordered sets, where the notions of Riordan graphs and Riordan posets have been defined. Riordan arrays are lower triangular matrices with interesting structural properties in their own right. Many of these properties are related directly to the algebra of the power series that define the matrices.

Tentative Speaker List

  • Lou Shapiro, Howard University
  • Tian-Xiao He, Illinois Wesleyan University
  • Ana Luzon, Universidad polit├ęcnica de Madrid
  • Donatella Merlini, Universita di Firenze
  • Emanuele Munarini, Politecnico di Milano
  • Minho Song, AORC, Sungkyunkwan University
  • Bumtle Kang, AORC, Sungkyunkwan University
  • Gukwon Kwon, AORC, Sungkyunkwan University
  • Homoon Ryu, AORC, Sungkyunkwan University