This course is aimed to give students an introduction to the theory of algebraic curves, with an emphasis on the interplay between the arithmetic and the geometry of global fields. One of the principle goals will be to understand the geometric formulation of global class field theory.
Contents
- Algebraic geometry and algebraic topology of nonsingular algebraic curves.
- Adelic language and Fourier transform.
- Class field theory and geometric interpretations.
- Professor: Eric Yen-Yo Chen
- Professor: Tanguy Vernet
