Welcome to MAT4230 - Algebraic Geometry III_亚博娱乐官网_亚博pt手机客户端登录

This course will give an introduction to several topics in algebraic geometry, with emphasis on the theory of curves. Some possible topics include

Curves (Hartshorne chapter IV)

Hodge theory (Voisin's books)

The Torelli theorem

Moduli spaces of curves

To do this, we will also go through parts of Hartshorne Chapter III (cohomology). For the Hodge theory part, I will go through the necessary background on differential forms and De Rham cohomology.