Alexandr Buryak: Catalogue data in Autumn Semester 2016 |
Name | Dr. Alexandr Buryak |
Department | Mathematics |
Relationship | Lecturer |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-3309-66L | Riemann Surfaces (Part 2) | 4 credits | 2V | A. Buryak | |
Abstract | The program will be the following: * Proof of the Serre duality; * Riemann-Hurwitz formula; * Functions and differential forms on a compact Riemann surface with prescribed principal parts; * Weierstrass points on a compact Riemann surface; * The Jacobian and the Picard group of a compact Riemann surface; * Holomorphic vector bundles; * Non-compact Riemann surfaces. | ||||
Objective | |||||
Literature | O. Forster. Lectures on Riemann Surfaces. | ||||
Prerequisites / Notice | This is a continuation of 401-3308-16L Riemann Surfaces that was taught in the spring semester (FS 2016), see https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxhbGV4YW5kcmJ1cnlha2hvbWVwYWdlfGd4OjQzODM1ZDQ1ZjI2NjE1NWI for the lecture notes. The students are also assumed to be familiar with what would generally be covered in one semester courses on general topology and on algebra. |