General information

Course number	MTH 3520
Semester	SS 2021
Current number of participants	6
Home institute	Differentialgeometrie
participating institutes	Institut für Mathematik
Courses type	Lecture in category Teaching
Next date	Wed , 23.06.2021 14:15 - 15:45
Online/Digitale Veranstaltung	Veranstaltung wird online/digital abgehalten.
Hauptunterrichtssprache	englisch

Lecturers

Dr. Artem Nepechiy

Course location / Course dates

n.a	Wednesday: 14:15 - 15:45, weekly

Fields of study

Mathematisch-Naturwissenschaftlich-Technische Fakultät > Institut für Mathematik > Master Mathematik

Module assignments

Mathematik Masterstudiengang Mathematik PO 2013, 12. > Master Mathematik A: Wahlpflichtbereich Mathematik > MTH-3520 - Spezielle Kapitel der Geometrie > Spezielle Kapitel der Geometrie
Mathematik Masterstudiengang Mathematik PO 2013, 12. > Master Mathematik D: Wahlbereich > MTH-3520 - Spezielle Kapitel der Geometrie > Spezielle Kapitel der Geometrie
Mathematik Masterstudiengang Mathematik PO 2013, 12. > Master Mathematik D: Wahlbereich > MTH-3001 - Spezielle Kapitel der Geometrie > Spezielle Kapitel der Geometrie
Mathematik Masterstudiengang Mathematik PO 2013, 12. > Master Mathematik D: Wahlbereich > MTH-3000 - Spezielle Kapitel der Geometrie > Spezielle Kapitel der Geometrie

Comment/Description

Many notions introduced in Riemannian geometry (in particular sectional curvature) can be generalized to metric spaces without relying on concepts such as differentiability. Although these notions are defined synthetically, they appear very naturally, when one studies convergence of Riemannian manifolds. On the other hand these spaces admitt a surprisingly rich structure, if studied as a class among themselves.

In this lecture we will study spaces admitting a (synthethical) sectional curvature bound together with a notion of convergence, the so called Gromov-Hausdorff convergence, and investigate the interplay of geometry and (algebraic) topological invariants.

In order to follow the lecture participants should have some background in Riemannian Geometry and Algebraic Topology.