The project has started in May 2000 and will run till November 30, 2003

**This project cooperates with
TMR Network ERB FMRX CT-97-0107
**

*Objectives:*
The aim of this project is to investigate reductive groups over
arbitrary fields and asscociated linear and homological structures.
Related linear structures are for example Lie algebras, Azumaya
algebras, Jordan algebras, associative algebras with involution,
quadratic and hermitean forms, related homological structures are
those (co)homological functors and tools which are used or can be used
to study those objects. Among them are the Galois or etale cohomology
ring (e.g of a field or of a scheme), the cohomology functors
describing Lie algebras, the Witt ring describing quadratic forms, the
functors of algebraic K-theory and so on. More specialized objects in
this context are e.g. the Brauer group of a field or of a variety,
which is a particular instance of the functors being subsummized in
the Galois cohomology ring of that object.

- 2. Periodic Report (1.1.2002 -- 31.12. 2002) [dvi | dvi.gz | ps | ps.gz | pdf | pdf.gz]
- 1. Periodic Report (1.5.2000 -- 31.12. 2001) [dvi | dvi.gz | ps | ps.gz | pdf | pdf.gz]

and Related Structures in Algebra and Topology

INTAS-93-2618-Ext (May 1, 1997 - Dec. 31, 1999) (All documents are in gzipped postscript format.)

- Final Report for INTAS-93-2618-Ext (July 4, 2000)
- 1. Periodic Report for INTAS-93-2618-Ext (Mar. 8, 1999)
- Work Programme for INTAS-93-2618-Ext (Mar. 24, 1997)
- Final Report for INTAS-93-2618 (Dec. 11, 1996)
- Periodic Report for INTAS-93-2618 (Jul. 19, 1996)
- Work Programme for INTAS-93-2618 (Jan. 30, 1995)
- Declaration of Intent (Oct. 26, 1994)