Short course

Saeed Tafazolian
Algebraic Curves over finite fields

In this course, we will learn basic properties, geometric and arithmetic, of algebraic curves. We cover the following subjects:  
- Review of some basic properties: function fields, divisors, Riemann-Roch, Riemann-Hurwitz, automorphisms 

- Weil conjectures for curves with the proof of Stepanov/Bombieri

- Galois extension of function fields and some example of curves

- Jacobian of curves and some applications