著者紹介

内容

目次

Preface; Acknowledgments; Part I. Lecture Notes: 1. Lectures onprincipal bundles V. Balaji; 2. Brill-Noether theory for stable vectorbundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas; 3. Fourier-Mukaiand Nahm transforms U. Bruzzo, D. Hernandez Ruiperez and C. Tejero Prieto; 4.Geometric invariant theory P. E. Newstead; 5. Deformation theory for vectorbundles N. Nitsure; 6. The theory of vector bundles S. Ramanan; Part II.Survey articles: 7. Moduli of sheaves from moduli of Kronecker modules L.Alvarez-Consul and A. King; 8. Coherent Systems: a brief survey S. B.Bradlow; 9. Higgs bundles surface group representations Oscar Garcia-Prada;10. Quotients by non-reductive algebraic group actions Frances Kirwan; 11.Dualities on T*SUx(2,Ox) E. Previato; 12. Moduli spaces for principal bundlesA. H. W. Schmitt; Part III. Research Articles: 13. Beilinson type spectralsequences on scrolls M. Aprodu and V. Brinz nescu; 14. Coherent systems on anodal curve Usha N. Bhosle; 15. Brill-Noether bundles and coherent systems onspecial curves L. Brambila-Paz and Angela Ortega; 16. Higgs bundles in thevector representation N. Hitchin; 17. Moduli spaces of torsion free sheaveson nodal curves C. S. Seshadri.