Riemannian surfaces

Riemannian surfaces

Semester
SoSe 2023

Lecturer
Guido Kings

Type of course (Veranstaltungsart)
Vorlesung

German title
Riemannsche Flächen

Contents
Riemannian surfaces are one dimensional complex manifolds, with an extremely rich mathematical
structure, which serves as introduction and motivating examples for many more advanced mathematical
theories. For example, a compact Riemannian surface can be always described by algebraic
equations. In this lecture, we will study Riemannian surfaces with the aim proving the famous
Riemann-Roch theorem, which relates surprisingly the existence of meromorphic functions with
prescribed singularities to topological properties of the Riemannian surface.

Time/Date
Di 14-16, Do 14-16

Location
M103 (Di), M102 (Do)

Course homepage
https://elearning.uni-regensburg.de/course/view.php?id=60015
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Preliminary registration for the organisation of exercise classes: at the end of the previous
semester via EXA or LSF (see announcement by the department)
Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes: Erfolgreiche Teilnahme an den Übungen
durch Vorrechnen von Übungsaufgaben und 50 % der Punkte in den Übungsaufgaben.

Examination (Prüfungsleistungen)

Written exam: Duration: , Date: tba, re-exam: Date: tba

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

ECTS
9