Painleve Equations and Complex Reflections
arXiv:1305.6462
Abstract
We will explain how some new algebraic solutions of the sixth Painleve equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.
10 pages. Simplified version of the author's talk at the conference in honour of Frédéric Pham, Nice 1-5 July 2002