Universität Wien
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250130 VO Topics in Algebra: Coxeter Groups (2022S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 02.03. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.03. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.03. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.03. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.03. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 21.03. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 23.03. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.03. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.03. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.04. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.04. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.04. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 27.04. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.05. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.05. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.05. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.05. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.05. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.05. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.05. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.05. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.05. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 01.06. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.06. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.06. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.06. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.06. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.06. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.06. 09:00 - 09:45 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.06. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Coxeter groups are abstract reflection groups. Concrete examples include symmetry groups of regular polytopes and the triangle groups that are the symmetry groups of triangular tilings of the sphere, Euclidean plane, and hyperbolic plane.

Course topics:
* Survey these and higher dimensional geometric reflection groups.
* Abstract reflection groups and the combinatorial group theory of Coxeter groups.
* Introduction to geometric group theory and construction of the Davis complex for Coxeter groups.
* How cube complexes are better than polyhedral complexes and applications to modern results in right-angled Coxeter groups.

Basic group theory and linear algebra are assumed, but no prior experience in combinatorial or geometric group theory is required.

Assessment and permitted materials

Oral exam

Minimum requirements and assessment criteria

Pass the oral exam

Examination topics

Contents of the lecture

Reading list

Davis, The geometry and topology of Coxeter groups
Cashen, Notes on Coxeter groups

Association in the course directory

MALV

Last modified: Tu 09.05.2023 15:07