Stratifolds and singular (co)homology

Stratifolds and singular (co)homology

Semester
SoSe 2024

Lecturer
Georgios Raptis

Type of course (Veranstaltungsart)
Seminar

German title
Stratifolds und singuläre (Ko)Homologie

Contents
This seminar will present a geometric approach to singular (co)homology of topological spaces. This approach is based on the use of a class of "smooth stratified spaces" called stratifolds. We will discuss many of the properties (e.g. Poincare duality), computations and applications of singular (co)homology from this viewpoint. This seminar should be of interest to those interested in algebraic topology and its applications.

Literature
M. Kreck "Differential Algebraic Topology: From Stratifolds to Exotic Spheres"

Recommended previous knowledge
Basic notions from algebraic topology and the theory of smooth manifolds.

Time/Date
Blockseminar during the period 4-12 April (details to be confirmed)

Location
to be announced

Course homepage
https://graptismath.net/teaching.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Organisational meeting/distribution of topics: Please contact me by e-mail as soon as possible
to express your interest in participating in the seminar. I will then contact you soon with
more details about the organisational meeting that will take place at the end of the semester.
Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Presentation: Giving a seminar talk of roughly 90 minutes

Examination (Prüfungsleistungen)

Detailed written report of the seminar talk

Modules
BSem, MSem

ECTS
4,5