Local-global principles for quadratic forms
Fri, Oct 30, 2015
PIMS, University of British Columbia
PIMS/UBC Distinguished Colloquium
The classical theorem of Hasse-Minkowski asserts that a quadratic form over a number field represents zero nontrivially provided it represents zero nontrivially over its completions at all its places. We discuss analogous local global principles over function fields of p-adic curves. Such local-global principles in the general setting for homogeneous spaces have implications to the understanding of the arithmetic of these fields.