Riemann Surfaces

Riemann Surfaces

Semester
WiSe 2024 / 25

Lecturer
Niko Naumann

Type of course (Veranstaltungsart)
Vorlesung

German title
Riemannsche Flächen

Contents
Riemannian surfaces are one dimensional complex manifolds, and hence situated at the cross point of
many more advanced mathematical theories. For example, a compact Riemannian surface can be always
described by algebraic equations while non-compact ones are an entry point to modular forms. In
this lecture, we provide an introduction to the theory of Riemann surfaces building only on
prerequisites offered in the first four terms of a Bachelor of Science in Mathematics.

Literature
O. Forster, Riemann Surfaces.

Recommended previous knowledge
Analysis I-IV, Linear Algebra I,II and Algebra

Time/Date
Mo, 10-12 in H31 and Tue, 12-14 in H31.

Course homepage
https://elearning.uni-regensburg.de/course/view.php?id=67084
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for the exercise classes: There will be one excersise class on Mo., 12-2 pm in H32
Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes: Successful presentation of at least 2
problems in the excersise class.

Examination (Prüfungsleistungen)

Written exam: Duration: 120 min, Date: TBD, re-exam: Date:

Modules
BAn(2), BV, MV, MArGeo, MGAGeo

ECTS
9