Seminar on foundations in 3-manifold topology III
We study foundational topics in 3-manifold topology. This term we will focus on hyperbolic 3-manifolds.
The seminar is scheduled for Wednesdays 2-4pm in M311. More details about the organisation of the seminar taken into account the current measurements due to the coronavirus crisis will appear later here. If you are interested in participating you should email me.
We will mainly use the following literature- [BP] R. Benedetti, C. Petronio, "Lectures on hyperbolic Geometry", Springer textbook
- [L] M. Lackenby, "Hyperbolic 3-manifolds", available on M. Lackenby's homepage
- [M] B. Martelli "An Introduction to Geometric Topology", available on the arXiv
| Date | Topic | Speaker | Literature |
|---|---|---|---|
| 29.4. | Margulis' Lemma and thick-thin decomposition | Pietro Capovilla | [BP,M] |
| 6.5. | Finite volume hyperbolic 3-manifolds and their isometry groups | Raphael Zentner | [L,M] |
| 13.5. | Finite isometry groups, 84(g-1)-theorem | Raphael Zentner | |
| 20.5. | Ideal tetrahedra and Thurston's matching equations | Laura Marino | [L,M] |
| 27.5. | Ideal tetrahedra and Thurston's matching equations II, Ideal tetrahedra and the completeness equations I | Laura Marino / Jose-Pedro Quintinilha | [L,M] |
| 3.6. | Ideal tetrahedra and the completeness equations II | Jose-Pedro Quintinilha | [L,M] |
| 10.6. | Closed hyperbolic 3-manifolds | Jose-Pedro Quintinilha | [M] |
| 17.6. | Finite volume hyperbolic structures on the figure-8-knot complement and the Borromean rings | Raphael Zentner | [L, Thurston's notes] |
| 24.6. | Thurston's finiteness theorem for Dehn filling | Jonathan Bowden | [M, Thurston's notes] |
| 1.7. | The volumes of hyperbolic 3-manifolds | Marco Moraschini | [BP] |
| 8.7. | Subgroups of surface groups are almost geometric | Alexander Neumann | [Hempel, "subgroups of surface groups are almost geometric"] |
| 15.7. | Subgroups of surface groups are almost geometric | Alexander Neumann | [Hempel, "subgroups of surface groups are almost geometric"] |
| 22.7. | Virtual Haken theorem | Stefan Friedl | |
| 29.7. | Virtual fibering theorem | Takahiro Kitayama |