Geometric group theory 1000-1M25GTG

During this course we will discuss important notions of geometric group theory, including volume growth, hyperbolicity, quasi-isometries and some of their invariants. We will also discuss classic theorems concerning volume growth of nilpotent groups and Gromov's theorem on polynomial growth. We will also discuss the Tits alternative.

Main fields of studies for MISMaP

mathematics

Type of course

elective monographs

Mode

Classroom

Prerequisites (description)

Basic courses in group theory and topology. All the other required notions will be introduced during the course.

Course coordinators

Piotr Nowak

Assessment criteria

Final grade will depend on:
- attendance,
- participation and engagement during classes,
- final exam.

Bibliography

Clara Löh, Geometric Group Theory - An Introduction, Springer Universitext 2017
Cornelia Drutu, Misha Kapovich, Geometric Group Theory, AMS Colloquium Publications, 2018

Additional information

Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:

Master's degree, second cycle programme, Mathematics

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 1000-1M25GTG in USOSweb