250114 VO Geometric and asymptotic group theory II (2012S)
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Details
Language: English
Lecturers
Classes (iCal) - next class is marked with N
- Tuesday 13.03. 10:00 - 12:00 Seminarraum
- Tuesday 20.03. 10:00 - 12:00 Seminarraum
- Tuesday 27.03. 10:00 - 12:00 Seminarraum
- Tuesday 17.04. 10:00 - 12:00 Seminarraum
- Tuesday 24.04. 10:00 - 12:00 Seminarraum
- Tuesday 08.05. 10:00 - 12:00 Seminarraum
- Tuesday 15.05. 10:00 - 12:00 Seminarraum
- Tuesday 22.05. 10:00 - 12:00 Seminarraum
- Tuesday 05.06. 10:00 - 12:00 Seminarraum
- Tuesday 12.06. 10:00 - 12:00 Seminarraum
- Tuesday 19.06. 10:00 - 12:00 Seminarraum
- Tuesday 26.06. 10:00 - 12:00 Seminarraum
Information
Aims, contents and method of the course
This course is on the Baumslag-Solitar groups with applications. Since their introduction by Baumslag and Solitar in 1962, the family of Baumslag-Solitar groups has become a constant source of examples and counterexamples in the theory of infinite groups.The purpose of this course is to focus on the Baumslag-Solitar groups in order to introduce students to advanced topics of geometric group theory such as growth, curvature and limits of infinite groups. In particular, we will discuss the following fundamental concepts:-- (Non)-amenability (introduced by John von Neuman);-- Limits in the space of marked groups (used, for example, in the proof of the celebrated Gromov polynomial growth theorem);-- Bass-Serre theory (developed by Jean-Pierre Serre and Hyman Bass).The lectures will be focused on concrete examples.The knowledge of Geometric and asymptotic group theory I (Winter semester course) is not required.
Assessment and permitted materials
Minimum requirements and assessment criteria
Examination topics
Reading list
Association in the course directory
MALV, MGEV
Last modified: Mo 07.09.2020 15:40