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| Semester | spring semester 2019 |
| Course frequency | Irregular |
| Lecturers | Anne Lonjou (anne.lonjou@unibas.ch, Assessor) |
| Content | In this lecture we give an introduction to geometric group theory. The philosophy of this theory is to find group actions on geometric objects so that we can use their geometry to study the group. The geometric objects encountered are metric spaces and more precisely metric graphs and metric trees. The objective is to prove, using group action on trees, that any subgroup of a free group is free (If you want to check it by hand it is not so easy!). All the objects of the lecture will be defined through several examples. |
| Learning objectives | Getting familiar with finitely generated groups and with geometrical methods in group theory. |
| Bibliography | Main reference: Clara Löh, Geometric group theory. Other references: - John F. Humphreys, A course in group theory. -Matt Clay and Dan Margalit, Office hours with a geometric group theorist. |
| Admission requirements | Linear Algebra I and II. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|
No dates available. Please contact the lecturer.
| Modules |
Module: Algebra and Number Theory (Bachelor's Studies: Mathematics) Module: Specialisation in Mathematics (Bachelor's Studies: Computational Sciences) |
| Assessment format | continuous assessment |
| Assessment details | Solving 2/3 of the weekly exercises in order to be admitted to the final written exam. The written exam will take place on Tuesday 28 of May from 16h15 to 18h. The second exam (for those who failed the first one) will take place on Thursday 13 of June from 14h15 to 16h. |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | 1-6 0,5 |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |