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401-3309-66L  Riemann Surfaces (Part 2)

SemesterAutumn Semester 2016
LecturersA. Buryak
Periodicitynon-recurring course
Language of instructionEnglish

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.
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 Link 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.