Conference of the Network Real Algebraic & Analytic Geometry SINGULARITY THEORY in honour of Stanislaw Lojasiewicz Cracow, Jagiellonian University, March 21-27, 2004 All the lectures will be given in the Larische Palace, 12 Bracka Street March 22, Monday ------------------- 10:30 Opening and the address by Prof. Czeslaw Olech, 11:15-12:00 T.-C.Kuo, Analytic singularity theory as Infinitesimal Calculus, 16:00-16.45 M.Shiota, How many manifolds are there, 17:15-18:00 K.Kurdyka, Toward a real analytic multiparameter perturbation theory, March 23, Tuesday ------------------- 10:00-10:45 A.Gabrielov, Betti numbers of semialgebraic and subpfaffian sets, 11:15-12:00 T.Fukui, Mapping degree and Euler characteristic, 16:00-16.45 E.Bierstone, Resolution of singularities of toric varieties, 17:15-18:00 J.Wlodarczyk, Simple Hironaka resolution in characteristic zero, 18.15-19.00 D.Richardson, Seminar on o-minimal structures, March 24, Wednesday ------------------ 10:00-10:45 B.Malgrange, Non linear differential Galois Theory, 11:15-12:00 A.van den Essen, Hesse, the Jacobian Conjecture and the Laplace operator, 16:00-16.45 Y.Yomdin, Quantitative Singularity Theory, efficiency of computations and Statistics of Semialgebraic Sets, 17:15-18:00 J.-M.Lion, Paires des champs ortogonaux et à orbites fermées sur un tore, March 25, Thursday ------------------ 10:00-10:45 A.Haraux, Some applications of the Lojasiewicz gradient inequality to asymptotic behaviour of gradient like systems, 11:15-12:00 S.Izumi, Osgood map and transcendence, March 26, Friday ------------------ 10:00-10:45 A.Macintyre, Schanuel's Conjecture and its impact on the logic of real and complex exponentiation, 11:15-12:00 P.Speissegger, D-minimality and a trichotomy for germs of planar real analytic vector fields, 16:00-16.45 J.-Ph.Rolin, Non oscillating integral curves and o-minimal structures, 17:15-18:00 B.Teissier, Extensions of valuations and singularities.