S4D2 – Graduate Seminar on Topology

Winter term 2022/2023

Daniel Kasprowski, Dominik Kirstein and Simona Veselá

Mondays 10:15 - 12:00 in SR 0.003 and Wednesdays 10:15 - 12:00 in SR 1.007.

The seminar is the inofficial continuation of the lecture course Topology II and will cover important statements in homotopy theory. Basic knowledge about homotopy groups is assumed (i.e. Blakers–Massey, Hurewicz, Whitehead). The seminar program can be found here.

DateTopic
Mo 10.10. FibrationsCallepdf
We 12.10. Eilenberg-Maclane spacesJanpdf
Mo 17.10. Postnikov towersBartpdf
We 19.10. Obstruction theoryFrederikpdf
Mo 24.10. Classifying spacesCatincapdf
We 26.10. Vector bundlesMarcpdf
Mo 31.10. Steenrod squaresPhilpdf
We 02.11. Characteristic classesIasonpdf
Mo 07.11. no seminar
We 09.11. Characteristic classess IITimpdf
Mo 14.11. Brown representabilityAnalenapdf
We 16.11. Spectra and homology theoriesInakipdf
Mo 21.11. Spanier-Whitehead dualityAdrianpdf
We 23.11. Bordism, Thom spaces and Pontrjagin-Thom ILucaspdf
Mo 28.11. Bordism, Thom spaces and Pontrjagin-Thom IIMaxipdf
We 30.11. Homology with coefficientsGabrielepdf
Mo 05.12. no seminar
We 07.12. no seminar
Mo 12.12. Model categoriesJudithpdf