(spring semester 2008)
Seminar
on Twisted K-theory
We meet every tuesday, 11.00-12.00 Min 021
- First meeting: (jan 28 14.00 BBL 166a.) Jan-Willem de Jong: Vector bundles. [Atiyah's book]
- 05/02. Bart van den Dries: cohomological properties of K-theory. [Atiyah's book]
- 12/02. Giorgio Trentinaglia: The Atiyah-Jaenich theorem. [appendix of Atiyah's book]
- 19/02. Luuk Hoevenaars: Twistings and examples of computations of twisted K-groups. [FHTI]
- 26/02. David Carchedi. The definition of twisted K-theory. [Tw K-thy, by Atiyah-Segal]
- 04/03. Vincent v.d. Noort: Clifford algebras. [ABS]
- 11/03 Hessel Posthuma: Summary of all previous talks, and clasification of Z/2-graded twistings.
- 25/03 Andre Henriques: An overview of talks that are about to come.
- 1/04 Benoît Dherin: Continuous trace C* algebras + H^3 classification [Raeburn-Williams's book]
- 8/04 David Martinez Torres: Bott periodicity [Atiyah-Singer: "Index theory for skew adjoint..."]
- 15/04 Oliver Lorscheid: Operator K-theory [Higson: "a primer on KK"]
- 22/04 Ieke Moerdjik: The standard gerbe on G [Meinrenken: "The basic gerbe..."]
- 29/04 Dmitry Roytenberg: Universal Hilbert bundles, definitions of twisted K-theory for groupoids [FHTI]
- 06/05 Dave Carchedi: Computation of tw-K([G/G]) [FHTI]
- 13/05--20/05 Hessel Posthuma--Eduard Looijenga: Affine Lie algebras--the Dirac construction [ FHT II]
- 27/05 Andre Henriques: Orientations and TQFT [FHT: "Consistent orientation..."]
- --------by lack---of---time,---these---talks---will---unfortunately---not---be---held---------
- Thom isomorphism (proof #1) [Karoubi: "K-thy old and new"+ Atiyah: "Bott per. and the index..."]
- Thom isomorphism (proof #2) [Cohen-Klein: "Umkehr maps" + FHT I]