Introduction to theory of algebraic curves and Riemann surfaces

November 3 - November 10

Institut Henri Poincare

Jean-Benoit Bost (Math, Orsay and ENS)

No lecture notes exist

Lecture 1 CONSTRUCTION OF RIEMANN SURFACES

• Algebraic curves

• Cosets

• Uniformisation

• .....

Lecture 2

• Line bundles on Riemann surfaces

• Riemann-Roch theorem and applications

Lecture 3

• Jacobians

• Abelian varieties

• Theta functions

Lecture 4 MODULI SPACES OF COMPACTS RIEMANN SURFACES

• Various approaches

• Compactifications

This survey will stress more examples than proofs