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Notes from good lectures on

Vector bundles on curves

(There are also notes from lectures on other subjects )

Abelianisation of G-bundles

Lectures by Bill Oxbury, Durham
Notes by Joachim Kock
Luminy, March 2001

Abstract:
1. G-bundles on a curve.
2. The Verlinde formula.
3. A digression on abelian varieties.
4. The case G=SL(n).
5. Construction of covers with Galois group W(G).
6. Decomposition of JZ.
7. Abelianisation.

25pp. [ pdf (328Kb) ]

Espacios Moduli de Fibrados Vectoriales sobre Curvas Algebraicas

Lectures by Leticia Brambila Paz, UAM, Mexico
Notes by Joachim Kock
Recife, February 1998

Abstract:
1. Espacios moduli.
2. Fibrados vectoriales sobre curvas.
3. Subvariedades de los espacios moduli.
4. Estabilidad de fibrados.

20pp with figures. [ ps (368Kb) ]

Vector Bundles on Compact Riemann Surfaces

Lectures by P. A. Vishwanath, SPIC Math. Inst., Madras
Notes by Joachim Kock
Recife, February 1997

Abstract:
1. Generalities on vector bundles on CRS.
2. A Theorem of André Weil.
3. Theorem of Narasimhan and Seshadri.
4. Deformations of vector bundles and local moduli.

34pp and 1 figure. [ ps (456Kb) ]


Last updated: 10th of September 2001 by Joachim Kock.