Arnold's seminar, Moscow University March 18, 2003 V.Golyshev I will consider multi-parameter differential equations called equations DN. I will discuss a conjecture about monodromies of DN's. I will explain how these equations arise in mirror symmetry, how Beukers and Zagier studied D2's, and how the Iskovskih classification is (or, rather, must be) connected with D3's. --------------------------- http://www.pdmi.ras.ru/~arnsem