Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg
Topics in 3-manifold topology
Semester
SoSe 2019

Dozent
Raphael Zentner

Veranstaltungsart
Seminar

Inhalt
We will cover topics in 3-manifold topology: We start with basic theory, including the prime
decomposition theorem, a proof of Dehn's lemma and the loop theorem, the notion of hierarchies, a
funamental technique in 3-manifold topology introduced by Haken and exploited also by Waldhausen,
Johannson, and, in an adopted way, by Gabai and Thurston, among others. As a large class of
3-manifolds that are well understood we will discuss Seifert fibred manifolds. We then turn to more
recent topics in 3-manifold topology such as sutured manifolds, geometrisation, and the virtual
Haken and virtual fibering conjecture. This seminar is intended for students wishing to write a
bachelor or master thesis in the area of 3-manifold topology, and also for researchers working in
this area.

Empfohlene Vorkenntnisse
Solid knowledge in algebraic topology is necessary, and in particular homology groups, the
fundamental group, and covering spaces

Termin
Do 14-16 Uhr

Ort
M 009

Anmeldung
  • Anmeldung zu Studienleistungen/Prüfungsleistungen: FlexNow
Studienleistungen
  • Giving a seminar talk and writing a detailed written report
Module
BSem, MV, MSem

ECTS
Siehe Modulkatalog. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn
vor WS 15/16