S2D3 – Hauptseminar Differentialtopologie // S4D2 – Graduate Seminar on Topology

Morse-Theorie // Morse Theory

Sommersemester 2018

Martin Palmer-Anghel

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.
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 Oliver Kienast
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