Noncommutative Geometry

Lecture course in the master mathematical physics.

Place and time

Mondays, 09.00-11.00 SP G2.13

No lecture on Feb 15!

Lecture Notes (under construction, updated June 18, corrected typos on page 40 (eq. 28) and page 50 (eq. 38))

Exercise sheet 1

Exercise sheet 2

Some (old) exercises on cyclic homology (beware, the level is not representative -too high- for the exam)

For the exam, the following topics are important:

C^{*}-algebras, the Gelfand-Naimark theorem and the continuous functional calculus
K-theory for C^{*}-algebras, Bott periodicity (not its proof) and the six-term exact sequence associated to a short exact sequence of C^{*}-algebras
some basic skills in homological algebra: chain complexes, homology, chain maps and chain homotopies
Hochschild and cyclic homology, their relation through the SBI-sequence, us of alternative projective resolutions. Computation of the Hochschild and cyclic homology of smooth functions on a manifold (not the details of the proof)
The Chern character, commutative (Chern-Weil theory), and noncommutative.

Uitslag (gemiddelde van huiswerk en tentamen)
10206140 7.5
10022147 6.5
10191429 7
10299246 7.5
10084630 7.5
10025820 7.5
10022864 7
10093052 6.5
10646523 4.5
10002860 7.5
10001230 7
10242880 6.5
10097236 9
10251057 7
10196072 7.5