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Higher Invariants Oberseminar (HIOB 8)
The topic in this semester is index theory. The idea is to understand the classical index theorem of Atiyah-Singer through Connes' groupoid approach while learning higher aspects of C^{*}-algebra K-theory and Lie groupoids.
Dates and location
Mondays, 12-14, SFB Seminar Room.
Talks
If you are interested in giving a talk in this seminar, please contact U. Bunke.
| Date | Title | Speaker | |
| 15. | Oct | The classical index theorem | J. Gloeckle |
| 22. | Oct | The family version and the Riemann-Roch theorem | N. Otoba |
| 29. | Oct | Dirac operators | J. Seipel |
| 05. | Nov | Geometric applications of the index theorem for Dirac operators | B. Ammann |
| 12. | Nov | K-theory of C^∗-algebras | G. Tamme |
| 19. | Nov | Kasparov KK-theory | |
| 26. | Nov | The KK-category | A. Engel |
| 3. | Dez | Duality | M. Land |
| 10. | Dez. | Crossed products and Connes’ Thom isomorphism | C. Dahlhausen |
| 17. | Dez | Lie groupoids | K. Nguyen |
| 7. | Jan | C∗-algebras associated to Lie groupoids | K. Bohlen |
| 14. | Jan | Deformation to the normal cone | |
| 21. | Jan | Proof of the families index theorem (a la Connes) | |
| 28. | Jan | The Baum-Connes conjecture | S. Echterhoff (Münster) |
| 4. | Feb | Discussion of the topic for HIOB SS 2019 |
