Seminar on foundations in 3-manifold topology
We study foundational topics in 3-manifold topology. This term we will focus on Mapping class groups, Dehn's Lemma, the geometric classification of Lens spaces, the JSJ-decomposition, and residual finiteness
The seminar meets on Wednesday 2-4pm in M311. The first meeting is on Wednesday 15.10. from 2-4pm in M311.
We mainly use the following literature- [FM] B. Farb, D. Margalit, "A primer on mapping class groups", Princeton University Press
- [M] B. Martelli "An Introduction to Geometric Topology", available on the arXiv
- [H] J. Hempel, "3-manifolds", AMS Chelsea
| Date | Topic | Speaker | Literature |
|---|---|---|---|
| 16.10. | Some foundations about foliations | Raphael Zentner | |
| 30.10. | The Nielsen-Thurston classification of surface homeomorphisms | Jose-Pedro Quintinilha | [BF] |
| 13.11. | The Nielsen-Thurston classification of surface homeomorphisms II | Jose-Pedro Quintinilha | [BF] |
| 20.11. | The Nielsen-Thurston classification of surface homeomorphisms III | Jose-Pedro Quintinilha | [BF] |
| 27.11. | The Nielsen-Thurston classification of surface homeomorphisms IV | Jose-Pedro Quintinilha | [BF] |
| 4.12. | Dehn's Lemma | Laura Marino | [H] |
| 18.12. | Classification of lens spaces using foliations | Pietro Capovilla | [M] |
| 10.1. | Seifert fibered 3-manifolds and the JSJ-decomposition theorem | Raphael Zentner | [M] |
| 15.1. | Seifert fibered 3-manifolds and the JSJ-decomposition theorem II | Raphael Zentner | [M] |
| 22.1. | Residual finiteness | Lars Munser | |
| 29.1. | Residual finiteness II | Lars Munser | |
| 5.2. | Residual finiteness III | Lars Munser |