Talk calendar

1. Organization of the seminar, introductory concepts and prime decomposition theorem, (24/10/22 and 31/10/22, Gerard) See here for typed notes of what was covered on the half-talk of the 24th. 

2. incompressible surfaces and Haken manifolds, (07/11/22 Jacek)

3. Seifert manifolds I: Dehn filling and classification of lens spaces, (14/11/22 Chung-Sheng)

4. Seifert manifolds II: definitions, classification up to isomorphism and commensurability classes, (21/11/22 Leo (*))

5. Seifert manifolds III: classification up to diffeomorphism, (28/11/22) (02/12/22, from 10:00 to 11:30, Gerard)

6. Heegard splittings, Dehn surgery, knots and links I, (05/12/22  07/12/22 from 9:15 to 10:45 David)

7. knots and links II, (12/12/22 )(16/01/23, from 09:15 to 10:45 - David)

8. surface bundles and torus decomposition. (09/01/23 Jacek)

(*) This talk has been extended, on the first half of the talk on the 28/11/22 Gerard will review more orbifold theory, on the second half Leo will finish with coverings of Seifert fibrations and the study of commensurability classes of Seifert manifolds. The talk originally scheduled for that day is postponed to the following Friday at 10:00. As always, it will be recorded.

1.  The 8 geometries I: hyperbolic, elliptic and flat 3-manifolds (classification of the latter), and product geometries, (23/01/23 Jonas)

2. the 8 geometries II: Nil, Sol and SL2(R) geometries, geometries and Seifert manifolds. The geometrization conjecture. (30/01/23 Leo)

3. hyperbolic geometry I: basics and thick-thin decomposition, (06/02/23 Janek)*

4.  hyperbolic geometry II: Mostow rigidity, (13/02/23 Gerard)*

*These two talks do not require having attended the seminar before. In fact, the Mostow rigidity one is designed so one can mostly follow it independently of what came before, though everything helps, of course.

Here is a list of possible topic ideas, feel free to suggest more: (dates to be fixed in the future, depending on availability of the participants)

1. An introduction to the virtual Haken conjecture,

2. an overview of the Ricci flow in the geometrization conjecture,

3. hyperbolic knot theory (there will in fact be a seminar on this in the SoSe23 by Dr. Mark Kegel),

4. geometrization of surfaces and Teichmüller theory,

5. homotopy properties of 3-manifolds (loop and sphere theorems),

6. Thurston norm and related concepts,

7. spin geometry and 3-manifolds,

8. contact geometry of 3-manifolds,

9. topological, PL and smooth manifolds,

10. hyperbolic Dehn filling,

11. character varieties,

12. branched coverings,

13. (...)