Conference Service Mandl

abstract: The programme will focus on a number of aspects which are likely to become of major importance for subsequent developments, such as: the connection between integrable dynamical maps and the algebraic geometry of rational surfaces, the issue of irreducibility of nonlinear special functions defined through discrete equations and the underlying Galois theory of difference equations, the underlying spectral theory and isomonodromic deformations of linear difference equations, the connection with modern developments in representation theory such as cluster algebras and affine Weyl groups, the emergence of Diophantine problems of number theory and p-adic analysis in connection with the integrability of analytic difference equations, the problem of finding symmetries and conservation laws for discrete systems, and the primary role discrete integrable systems play in quantum mechanics, in particular quantum groups and quantum field theory on the space-time lattice.

abstract: The conference will consist of a series of invited lectures concerning applications of the Stone-Cech compactification of the natural numbers and other discrete semi-groups to Algebra, Analysis and Combinatorics. The conference is also an opportunity to celebrate the immense contribution to this field that has been made by Dona Strauss on the occasion of her 75th Birthday. Talks are by invitation only. However the organizers would like to invite everyone who is interested to attend. The following have agreed to speak at the conference: Mathias Beiglbck (Vienna University of Technology, Wien); Vitaly Bergelson (Ohio State University); Wis Comfort (Wesleyan University); Garth Dales (University of Leeds); Stefano Ferri (Universidad de los Andes, Bogot); Chris Good (University of Birmingham); Neil Hindman (Howard University); Anthony To-Ming Lau (University of Alberta); Imre Leader (University of Cambridge); Matthias Neufang (Carleton University); Igor Protasov (Kyiv Unive