Universität Wien
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250100 VO Geometric and asymptotic group theory 2 (2013S)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 05.03. 10:00 - 12:00 Seminarraum
  • Tuesday 12.03. 10:00 - 12:00 Seminarraum
  • Tuesday 19.03. 10:00 - 12:00 Seminarraum
  • Tuesday 09.04. 10:00 - 12:00 Seminarraum
  • Tuesday 16.04. 10:00 - 12:00 Seminarraum
  • Tuesday 23.04. 10:00 - 12:00 Seminarraum
  • Tuesday 30.04. 10:00 - 12:00 Seminarraum
  • Tuesday 07.05. 10:00 - 12:00 Seminarraum
  • Tuesday 14.05. 10:00 - 12:00 Seminarraum
  • Tuesday 28.05. 10:00 - 12:00 Seminarraum
  • Tuesday 04.06. 10:00 - 12:00 Seminarraum
  • Tuesday 11.06. 10:00 - 12:00 Seminarraum
  • Tuesday 18.06. 10:00 - 12:00 Seminarraum

Information

Aims, contents and method of the course

The course is on Geometry and Analysis of free groups. Free groups are universal objects in the theory of infinite groups. Since their appearance at the end of 19th century they are a constant source of examples and counterexamples.

The purpose of this course is to focus on free groups, their subgroups, and automorphisms in order to introduce students to advanced topics of geometric and analytic group theory such as curvature, randomness, and group C*-algebras. In particular, we will discuss the following fundamental concepts:

Random subgroups and the technique of Stallings foldings;
C*-exactness and C*-simplicity / (non)-amenability (introduced by John von Neumann);
Growth and random walks.

The knowledge of Geometric and asymptotic group theory I (Winter semester course) is not required.

Assessment and permitted materials

Presentation or test.

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MALV, MGEV

Last modified: Mo 07.09.2020 15:40