Séminaire d'algèbre et de géométrie du 08-12-2023

Exposé de Marco Schlichting

Le 08-12-2023 à 14:30, en en ligne.

On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings

Résumé

We prove a Chain Lemma for inner product spaces over commutative local rings R with residue field other than F_2 and use this to show that the usual presentation of the Grothendieck-Witt group of symmetric bilinear forms over R as the zero-th Milnor-Witt K-group holds provided the residue field of R is not F_2. This is joint work with Robert Rogers.