Vorlesung + Übung: Differential Topology - Details
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Lehrveranstaltung wird online/digital abgehalten.

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

Course location / Course dates

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

Module assignments


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