240153 Lattices (V) (WiSe 2023/2024)
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Lattices are certain discrete subgroups of Lie groups or, more generally, locally compact topological groups. Such a topological group G carries an invariant measure (for Lie groups, the volume form provides an invariant measure). A discrete subgroup \Gamma is a lattice, if there is a subset F of finite volume/measure in G whose \Gamma translates cover all of G. Being a lattice imposes some constraints on the structure an geometry of \Gamma.
The lecture will discuss several important examples in detail, such as arithmetically defined groups like SL_n(Z), which is a lattice SL_n(R).
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Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profile Module 1 | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| 24-M-P1a Profile Module 1, Part A | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P1b Profile Module 1, Part B | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P2 Profile Module 2 | Profilierungsvorlesung (mit Übungen) - Typ 1 | Student information | |
| 24-M-PWM Profile Module Economic Mathematics | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-S2-AL Spezialisation Courses in Algebra | Masterkurs 2 Algebra - Variante 1 | Student information | |
| 24-M-V2-AL Advanced Algebra | Masterkurs 1 Algebra - Variante 1 | Student information | |
| - | Graded examination | Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Studieren ab 50 | |||||||
| Studieren ab 50 |
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- Last update basic details/teaching staff:
- Wednesday, June 21, 2023
- Last update times:
- Wednesday, December 6, 2023
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- Wednesday, December 6, 2023
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Language
- This lecture is taught in english
- Department
- Faculty of Mathematics
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