Lecturer:
Course Type:
PhD Course
Academic Year:
2020-2021
Period:
February-March
Duration:
40 h
Description:
The main references shall be the course notes.
Prerequisite: complex analysis.
Course material:
- Riemann surfaces: definition and examples;
- Holomorphic and meromorphic functions on Riemann surface;
- Compact Riemann surface: genus, monodromy, homology;
- Differentials on Riemann surface and integration:- Riemann bilinear relation;- Jacobi variety and Abel theorem;- Divisors and Riemann-Roch theorem;
- Jacobi inversion problem and theta functions.
Exam: You need to solve an exercise and give a seminar on an agreed topic.
Starting period: February
Lecture notes: https://people.sissa.it/~grava/teaching.html
Additional Material:
Research Group: