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

All lectures will be held in the ICTP Main Lecture Hall

Monday, December 2

9:00-10:00 Registration (Lobby, Main Bldg; subsequently in room 106, 1st floor, Main Bldg)

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. Soulé, Rank two stable bundles on Riemann surfaces and Arakelov theory

11:30 S. Kumar, A conjectural generalization of n! result to arbitrary groups