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).

BASIS: S2D3 and S4D2

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