General information

Subtitle	Differentialtopologie
Course number	MTH-1520
Semester	SS 2021
Current number of participants	7
expected number of participants	30
Home institute	Analysis und Geometrie
Courses type	Vorlesung + Übung in category Teaching
First date	Tue , 13.04.2021 14:15 - 15:45, Room: (Zoom)
Pre-requisites	Analysis und Lineare Algebra
Online/Digitale Veranstaltung	Veranstaltung wird online/digital abgehalten.
Hauptunterrichtssprache	englisch
Literaturhinweise	Jost: Riemannian Geometry and Geometric Analysis Kobayashi-Nomizu: Foundations of Differential Geometry Lee: Introduction to Smooth Manifolds Bredon: Topology and Geometry Do Carmo: Differential Geometry of Curves and Surfaces Conlon: Differentiable Manifolds
ECTS points	9 LP

Lecturers

Dr.rer.nat. Evgeny Volkov

Tutor

Frederic Wagner

Course location / Course dates

(Zoom)

Tuesday: 14:15 - 15:45, weekly (13x)
Friday: 08:15 - 09:45, weekly (14x)

Fields of study

Module assignments

Mathematik Masterstudiengang Mathematik PO 2013, 12. gültig bis SS 2021 > Master Mathematik D: Wahlbereich > MTH-1520 - Differentialtopologie > Differentialtopologie
Mathematik Masterstudiengang Mathematik PO 2013, 13. > Master Mathematik A: Wahlpflichtbereich Mathematik > MTH-1520 - Differentialtopologie > Differentialtopologie
Mathematik Masterstudiengang Mathematik PO 2013, 12. gültig bis SS 2021 > Master Mathematik A: Wahlpflichtbereich Mathematik > MTH-1520 - Differentialtopologie > Differentialtopologie
Mathematik Masterstudiengang Mathematik PO 2013, 13. > Master Mathematik D: Wahlbereich > MTH-1520 - Differentialtopologie > Differentialtopologie

Comment/Description

Basics of manifolds and vector bundles.
Vector fields, differential forms.
Basics of Lie groups.
Submersions, immersions.
Chern-Weil theory of characteristic classes.

For SS 2021 the following courses in geometry/topology are also recommended:
MTH-1380 --- Geometrische Ungleichungen and
MTH 3520 --- Topics in metric geometry