
Mathematisches Institut der Universität München
 B. Pareigis
Prof. Dr. Bodo Pareigis, Priv.Doz. Dr. Peter Schauenburg, Prof. Dr. Julius Wess
KTheory
 Winter semester 2002/2003
 Time: Friday, 2:15 pm
 Room: E 45
 Planning session: Friday, October 18, 2002, 2:15 pm, Room E 45
 Contents: In this seminar we give an introduction to Ktheory.
Ktheory is a part of ring theory that assigns to every ring certain
abelian groups, the socalled Kgroups, that describe certain
properties of the ring. The origin of this theory lies in topology,
where the base ring is the ring of continuous functions on a
topological space. The Kgroups then become invariants of the
topological space.
The focus of the seminar will be on algebraic Ktheory, which,
however, will be compared with topological Ktheory and the Ktheory of
operator algebras. A central topic of the seminar is the connection
between the second Kgroup and the Brauer group, which is given by the
MerkurievSuslin theorem. From this theorem, we will proceed on the one
hand to the discussion of the new progress in motivic cohomology that
has recently attracted attention, on the other hand to the
consideration of the role that Ktheory plays in string theory.
The seminar is addressed at graduate students who want to learn about a
subject that is relevant for algebra, topology, and differential
geometry. Besides a certain mathematical maturity, there are no special
prerequisites necessary.
 Seminar program
 Literature on the Internet:
 V. Voevodsky: Lectures on motivic cohomology (Script by P. Deligne)
 V. Voevodsky: On 2torsion in motivic cohomology
 Internetpage of a Seminar at the `Institute of Advanced Study'
