A rough schedule for the lecture series
Index Theory and KK-Theory
by Ryszard Nest and Georges Skandalis
Some examples of differential operators: de Rham, Signature, Dirac. Statement of the Atiyah-Singer theorem in $K$-theory. Thom isomorphism.
Tuesday, 26.5.09, 15:15 h, Ryszard Nest , "Index theory and KK-theory II"
Basics on pseudodifferential calculus, symbol, ellipticity, parametrix. Exact sequence of $0$-order pseudodifferential operators. Precise statement of the theorem in $KK$-theory.
Thursday, 28.5.09, 10:15 h, Ryszard Nest, "Index theory and KK-theory III"
A proof of the Atiyah-Singer index theorem.
Friday, 29.5.09, 10:15 h, Georges Skandalis, "Index theory and KK-theory IV"
Examples, generalizations and further comments.
All lectures take place in the seminar room N2 in the new annexe of the math department.
We thank Hang Wang and Dapeng Zhou for providing us with a set of LaTeXed notes of the lectures of Georges Skandalis (and we thank Georges Skandalis for approving them).
