Autumn Semester 2020 takes place in a mixed form of online and classroom teaching.
Please read the published information on the individual courses carefully.

Alexandr Buryak: Catalogue data in Autumn Semester 2016

Name Dr. Alexandr Buryak
Address
Cherepanovyh str. 68
ap. 36
125183 Moscow
RUSSIAN FEDERATION
DepartmentMathematics
RelationshipLecturer

NumberTitleECTSHoursLecturers
401-3309-66LRiemann Surfaces (Part 2) Information 4 credits2VA. Buryak
AbstractThe 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
LiteratureO. Forster. Lectures on Riemann Surfaces.
Prerequisites / NoticeThis 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.