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Mathematisches Institut der Universität München
- B. Pareigis
Prof. Dr. Bodo Pareigis,
Priv.-Doz. Dr. Peter Schauenburg,
Prof. Dr. Julius Wess
K-Theory
- 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 K-theory.
K-theory is a part of ring theory that assigns to every ring certain
abelian groups, the so-called K-groups, 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 K-groups then become invariants of the
topological space.
The focus of the seminar will be on algebraic K-theory, which,
however, will be compared with topological K-theory and the K-theory of
operator algebras. A central topic of the seminar is the connection
between the second K-group and the Brauer group, which is given by the
Merkuriev-Suslin 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 K-theory 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 2-torsion in motivic cohomology
- Internetpage of a Seminar at the `Institute of Advanced Study'
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