401-3200-69L  A Survey of Geometric Group Theory

SemesterSpring Semester 2020
LecturersM. Cordes
Periodicitynon-recurring course
Language of instructionEnglish
CommentNumber of participants limited to 24.



Courses

NumberTitleHoursLecturers
401-3200-69 SA Survey of Geometric Group Theory2 hrs
Thu15:15-17:00HG E 33.5 »
M. Cordes

Catalogue data

AbstractIn this class we will cover some of the tools, techniques, and groups central to the study of geometric group theory. After introducing the basic concepts (groups and metric spaces), we will branch out and sample different topics in geometric group theory based on the interest of the participants.
ObjectiveTo learn and understand a wide range of tools and groups central to the field of geometric group theory.
ContentPossible topics include: properties of free groups and groups acting on trees, large scale geometric invariants (Dehn functions, hyperbolicity, ends of groups, asymptotic dimension, growth of groups), and examples of notable and interesting groups (Coxeter groups, right-angled Artin groups, lamplighter groups, Thompson's group, mapping class groups, and braid groups).
LiteratureThe topics will be chosen from "Office Hours with a Geometric Group Theorist" edited by Matt Clay and Dan Margalit.
Prerequisites / NoticeOne should be familiar with the basics of groups, metric spaces, and topology (should be familiar with the fundamental group).

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersM. Cordes
Typeungraded semester performance
Language of examinationEnglish
RepetitionRepetition only possible after re-enrolling for the course unit.

Learning materials

 
Main linkInformation
Only public learning materials are listed.

Groups

No information on groups available.

Restrictions

PlacesLimited number of places. Special selection procedure.
Beginning of registration periodRegistration possible from 06.01.2020
PriorityRegistration for the course unit is only possible for the primary target group
Primary target groupMathematics BSc (404000) starting semester 05
Mathematics MSc (437000)
Applied Mathematics MSc (437100)
Waiting listuntil 19.02.2020
End of registration periodRegistration only possible until 12.02.2020

Offered in

ProgrammeSectionType
Mathematics BachelorSeminarsWInformation
Mathematics MasterSeminarsWInformation