Martin Ziegler, Visiting Research Professor, University of Barcelona

This course  is planned as a concise introduction to the classical theory of quadratic forms q over a field F of characteristic different from 2. We start with a detailed discussion of the fundamental theorems of Witt (1937). Then the main methods for the understanding of the Witt ring of a field will be discussed, as Pfister forms, Clifford algebras, the Brauer group, and Milnor’s K-theory. At the end, we will try to give an account of the Milnor conjecture, proved by Voevodsky in 1996.

There will be ten two-hour sessions during ten consecutive weeks. On the 17th of September, in a meeting with the registered people, a suitable schedule for the course will be agreed.

Enrique Casanovas (Universitat de Barcelona)

Martin Ziegler, Visiting Research Professor, University of Barcelona

 

This course  is planned as a concise introduction to the classical theory of quadratic forms q over a field F of characteristic different from 2. We start with a detailed discussion of the fundamental theorems of Witt (1937). Then the main methods for the understanding of the Witt ring of a field will be discussed, as Pfister forms, Clifford algebras, the Brauer group, and Milnor’s K-theory. At the end, we will try to give an account of the Milnor conjecture, proved by Voevodsky in 1996.

 

There will be five two-hour sessions during five consecutive weeks. On the 17th of September, in a meeting with the registered people, a suitable schedule for the course will be agreed.

 

Enrique Casanovas (Universitat de Barcelona)