Arnold's Seminar March 9, 1999 M. Kazarian, Shapiro's problems Boris Shapiro (Stockholm University) was an active participant of the Seminar during 80's. He never broke relations with the Seminar and is always open for discussions and collaborations with its participants as well as with young mathematician and students. Michael Shapiro (KTH, Stockholm) is also a former participant of the Seminar. Quotation: "The purpose of this problem list is to inform our potential collaborators and students of our research activities and problems we are working on. Most of the problems have quite elementary formulations and are quite suitable as themes for graduate research papers or diplomas. Most of our interest are related to Schubert calculus and/or convex curves but not only to these 2 topics."