241026 Zopfgruppen (V) (WiSe 2014/2015)
Short comment
- WICHTIG: VERANSTALTUNGSBEGINN IST DER 13.10.!!
Contents, comment
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Zopfgruppen tauchen in der Mathematik an vielen Stellen auf, zum Beispiel als Abbildungsklassengruppen von punktierten Scheiben und als Fundamentalgruppen von Konfigurationsräumen. Sie lassen sich sehr einfach beschreiben und haben schöne Präsentierungen. Trotzdem bieten sie eine reiche Struktur, die mithilfe von unterschiedlichsten Werkzeugen untersucht wird. In der Vorlesung möchte ich einige dieser Methoden vorstellen.
Requirements for participation, required level
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Die Vorlesung richtet sich an Studierende ab dem dritten Jahr. Vorkenntnisse in Gruppentheorie und Topologie (Fundamentalgruppe, Homologie) sind hilfreich aber nicht Voraussetzung.
Bibliography
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Birman, "Braids, Links and Mapping Class Groups"
Birman, Brendle, "Braids: a Survey"
Kassel, Turaev, "Braid groups"
Thomas Brady, "A Partial Order for The Symmetric Group and New K(pi,1)s for the Braid Groups"
Dehornoy et al., "Ordering Braids"
Dehornoy, Digne, Godelle, Krammer, Michel, "Foundations of Garside Theory"
External comments page
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Mo | 10-12 | V4-112 | 06.10.2014-06.02.2015
not on: 12/22/14 / 12/29/14 |
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 3 | Study requirement
|
Student information |
| 24-M-P2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 3 | Study requirement
|
Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
- Address:
- WS2014_241026@ekvv.uni-bielefeld.de
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- Notes:
- Additional notes on the electronic mailing lists
- Last update basic details/teaching staff:
- Friday, December 11, 2015
- Last update times:
- Thursday, October 22, 2015
- Last update rooms:
- Thursday, September 18, 2014
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 2
- Department
- Faculty of Mathematics
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