S2D3 – Hauptseminar Differentialtopologie // S4D2 – Graduate Seminar on Topology
Morse-Theorie // Morse Theory
Sommersemester 2018
Coordinates
The seminar takes place on Tuesdays from 12:15 to 14:00 in seminar room 1.008 (Endenicher Allee 60).
Program
The programme for the seminar is here: [English / German]. The main reference for the seminar is the book "Lectures on the h-cobordism theorem" by John Milnor. See the programme for more references and abstracts of the talks.
Prerequisites
- The course Topology I, Wintersemester 17/18.
- We will also use a bit of the course Topology II, Sommersemester 2018 (but not much, just cohomology and Poincaré duality).
- Some basic concepts from differential topology. The course Global Analysis I, Wintersemester 17/18 would for example be useful to have attended, but it is certainly not a critical prerequisite.
Office hours
- Tuesdays and Wednesdays 10–11am, Thursdays 9–10am, room 4.019.
- Note: please email or speak to me in advance to arrange a meeting during the office hours.
| Talk | Date | Speaker |
| 1. Morse functions. | 10.04.2018 | Lukas Bonfert |
| 2. Cobordisms I. | 17.04.2018 | Jonas Cremer |
| 3. Cobordisms II. | 24.04.2018 | Branko Juran |
| 4. Rearrangement of cobordisms (a.k.a. handle sliding). | 08.05.2018 | Christian Nöbel |
| 5. Morse homology. | 15.05.2018 | Robin Stoll |
| 6. Cancellation of critical points I. | 29.05.2018 | Niklas Hellmer |
| 7. Cancellation of critical points II. | 05.06.2018 | Carsten Uhlig |
| 8. Whitney trick I. | 12.06.2018 | Jonas Antor |
| 9. Whitney trick II. | 19.06.2018 | Lennart Ronge |
| 10. Elimination of critical points in the middle dimensions. | 26.06.2018 | Ferdinand Wagner |
| 11. Elimination of critical points in the extremal dimensions. | 03.07.2018 | Lars Munser |
| 12. The Poincaré conjecture and the Schoenflies theorem. | 10.07.2018 | Dídac Violan Arís |
| 13. Introduction to exotic spheres | 17.07.2018 | Xiaowen Dong and Tobias Fleckenstein |