Local-global principles for quadratic forms
Author:
Raman Parimala
Date:
Fri, Oct 30, 2015
Location:
PIMS, University of British Columbia
Conference:
PIMS/UBC Distinguished Colloquium
Abstract:
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.
Class:
Subject:
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