A COLLOQUIUM on GEOMETRY in honour of M.S. Narasimhan The Abdus Salam International Centre for Theoretical Physics (Trieste), December 2-5, 2002 Co-sponsored by: The Abdus Salam International Centre for Theoretical Physics International School for Advanced Studies (SISSA) Programme Monday, December 2 9:00-10:00 Registration (ICTP Main Bldg, Lobby; subsequently in Room 106, Main Bldg, first floor) 10:00 Opening 10:15 G. Harder, Moduli spaces in arithmetics 11:45 S. Ramanan, A remark on traditional vanishing theorems 14:30 J.-M. Drezet, Fine moduli spaces of sheaves with many endomorphisms 16:00 P. Newstead, Some applications of Hecke transformations Tuesday, December 3 10:00 A. Beauville, The theta divisor of a vector bundle 11:30 M.S. Raghunathan, The space of morphisms of an affine curve in a homogeneous space 14:30 T. R. Ramadas, The "Harder-Narasimhan trace" and unitarity of the Hitchin connection 16:00 C.S. Seshadri, M.S. Narasimhan and his work 18:30 Reception Wednesday, December 4 10:00 M. F. Atiyah, A look at the history of moduli spaces 11:30 M. Maruyama, The elementary transformation as a tool of computation 14:30 N. Nitsure, Representability of GLE 16:00 Li Jiyau, H-E metrics on parabolic stable bundles Thursday, December 5 10:00 N. Hitchin, The geometry of the B-field 11:30 G. Trautmann, Stable reduction for families of vector bundles 14:30 R. Parthasarathy, Dirac operators in representation theory --- a survey of two topics 16:00 H. Lange, On the Hilbert scheme of a Prym variety Friday, December 6 10:00 C. Soule', Rank two stable bundles on Riemann surfaces and Arakelov theory 11:30 S. Kumar, A conjectural generalization of n! result to arbitrary groups