The Witt ring of a field.
Samuel Lerbet
Université Grenoble Alpes, Institut Fourier
Date(s) : 12/03/2025 iCal
10h30 - 12h00
The Witt ring of a field F is an invariant that essentially classifies symmetric bilinear forms over F. Its functoriality is useful to attack arithmetic questions over number fields by comparing their Witt ring to those of their completions, in the spirit of the Hasse principle. In this talk, we propose to define the Witt ring and describe its basic properties, focusing on the case of ordered fields which is relevant to geometric aspects of theory of symmetric bilinear forms.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
Catégories
