Discrete integrable lattice equations and discrete Painleve equations
Yang Shi (Technische Universitaet Berlin)
Tuesday 30th April, 2013 15:00-16:00 Maths 416
In this talk I will start with a chronological account of differential integrable PDEs and classical Painleve equations. This will motivate the discussion about discrete integrable lattice equations (ABS classification, Comm.Math.Phys (2003), Funct.Anal.Appl. (2009)) and discrete Painleve equations (Sakai's classification, Comm.Math.Phys (2001)). I will highlight many beautiful properties of discrete integrable equations and finish by discussing some current directions of interests and some open problems.