Explicit Methods in Quadratic Form Theory.

The project addresses problems in Quadratic Form Theory motivated by major results obtained recently in this area. It emphasizes the use of explicit and computational approaches to obtain new results as well as refinements of results, in particular on statements about the existence of a certain representation of an object such as a quadratic form or an algebra with involution with certain properties (e.g. in terms of ramification or values for invariants). It further strives for providing criteria helping to decide for specialfields whether certain forms satisfy a local-global principle or to bound certain field invariants.

Keywords:THEORETICAL MATHEMATICS, ALGEBRAIC GEOMETRY, QUADRATIC FORMS

Disciplines:Algebra