S4D4 – Graduate Seminar on Advanced Topology - Characteristic Classes II

Summer term 2020

Wednesday 10:15 - 12:00; Zoom: 971-5991-5599

The following schedule is still preliminary. Please remember to register in Basis before April 30th. If you don't remember the meeting password, please send me an email.

The seminar will continue to follow the book Characteristic Classes by Milnor and Stasheff. I am assuming that you are familiar with chapters 1-12. The second part of the seminar follows the book Surgery Theory: Foundations by Crowley, Lück and Macko.

	Topic	Date		Reference
1	Complex manifolds and Chern classes	29.04.2020	Jonathan	MS §13-14	pdf
2	Pontrjagin classes	06.05.2020	Oliver	MS §15	pdf
3	Chern and Pontrjagin numbers	13.05.2020	Cara	MS §16	pdf
4	Thom spaces and the oriented cobordism ring	20.05.2020	Branko	MS §17-18	pdf
5	The signature theorem	27.05.2020	Hao	MS §19	slides handout
6	Exotic spheres	03.06.2020	Thibaud	MS §20	pdf
7	The h-cobordism theorem and applications	11.06.2020 4pm	Rui	L §1.1-1.2	pdf
8	Handle decompositions	17.06.2020	Antonio	L §1.2-1.4	pdf
9	The Whitney trick	24.06.2020	Dimitris		pdf
10	Proof of the s-cobordism theorem	01.07.2020	Dominik	L §1.4-1.5	pdf