
Mathematisches Institut der Universität München
 B. Pareigis
Prof. Dr. Bodo Pareigis, Priv.Doz. Dr. Peter Schauenburg, Prof. Dr. Julius Wess
Azumaya Algebras and Brauer Groups
(AzumayaAlgebren und Brauergruppen)
 Summer semester 2002
 Time: Friday, 11:15 am
 Room: 251
 Planning session: Friday, April 19, 2002, 11:15 am, Room 251
 Contents: While over algebraically closed fields every
semisimple algebra is a product of matrix algebras over the base field,
over not algebraically closed fields matrix rings over division rings
also occur, in the case of the real numbers for example the
quaternions. The question which semisimple algebras and which division
rings are possible over a given base field leads to interesting
connections to other properties of the field, for example to its Galois
cohomology
groups. In the seminar, we first develop this theory over fields and
afterwards consider its generalization for rings. This theory, which is
comparatively old for the rings considered in number theory, has
recently attacted the attention of the string theorists through its
application to rings of differentiable functions.
 Seminar program
 Seminar script
