Instructor: Prof. Chris Wendl (for contact information and office hours see my homepage)
Time and place: Thursdays 15:00-17:00 (c.t.) in room 3.007 (Rudower Chaussee 25) except in isolated special cases
Prerequisites: Knowledge of singular and cellular homology/cohomology as in Topologie II. Some knowledge of smooth manifolds (as in Differentialgeometrie I) will also be helpful.
Content: By a vaguely democratic process we have decided to focus the seminar on bordism theory, following approximately the first 12 chapters of the lecture notes from this course by Dan Freed. The seminar will be run in English.
Requirements: All (students and otherwise) are welcome to attend the seminar and may volunteer to give talks. For students to receive credit, the requirements are the following:
Wednesday April 18, 2018 | Discussion of possible topics |
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Thursday April 26, 2018 |
Speaker: Chris Wendl Topic: Introduction to bordism theory and background on fiber bundles scanned notes |
Thursday May 3, 2018 |
Speaker: Kangning Wei Topic: Framed bordism and the Pontrjagin-Thom construction scanned notes |
Wednesday May 9, 2018 11:00 (c.t.) in Room 4.007 |
Speakers: Johannes Hauber and Jan Hesmert Topic: Stabilization and the Freudenthal suspension theorem scanned notes: part 1 (Hauber) and part 2 (Hesmert) |
Thursday May 17, 2018 |
Speakers: Vera Baumgartner and Samuele Traviganti Topic: The stable framed bordism ring scanned notes: part 1 (Baumgartner) and part 2 (Traviganti) |
Thursday May 24, 2018 |
Speaker: Davide Manini Topic: Classifying spaces scanned notes |
Thursday May 31, 2018 | no seminar this week |
Thursday June 7, 2018 |
Speaker: Yoanna Kirilova and Evgeniya Lagoda Topic: Characteristic classes 1 scanned notes: part 1 (Kirilova) and part 2 (Lagoda) |
Thursday June 14, 2018 |
Speaker: Giuseppe Scriva Topic: Characteristic classes 2 scanned notes |
Thursday June 21, 2018 |
Speaker: Matthias Görg Topic: A digression on intersection theory scanned notes |
Thursday June 28, 2018 |
Speaker: Tatiana Levinson Topic: Tangential structures scanned notes |
Thursday July 5, 2018 |
Speaker: Agustin Moreno Topic: Thom spectra and X-bordism |
Thursday July 12, 2018 |
Speaker: Lucas Mann Topic: Signature and the Hirzebruch theorem |
Thursday July 19, 2018 (note change: usual time and place!) |
Speaker: Youshua Kesting Topic: The rational oriented bordism ring |