Geometry Seminar


Painlevé Differential Equations

in the Complex Plane


Professor Ilpo Laine

Department of Mathematics

University of Joensuu, Finland




This talk is devoted to considering Painlevé differential equations from the complex analytic point of view. More precisely, we are concentrating ourselves to looking at the meromorphic nature of solutions, their growth and their value distribution. As to the meromorphic nature, the sixth Painlevé equation will be described in some detail, while for the growth considerations, the second and fourth equations serve as our models. The value distribution of Painlevé solutions is our main source of open problems.




March 12, 2008 (Wednesday)


3:00 – 4:00pm


Room 517, Meng Wah Complex, HKU



All are welcome