MathCS Seminar

Title: Field invariants via refinements to patching
Seminar: Algebra
Speaker: David Harbater of UPenn
Contact: David Zureick-Brown,
Date: 2014-05-13 at 3:00PM
Venue: W306
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We consider fraction fields of complete two-dimensional domains, and obtain their u-invariant and period-index bound. This work, which is joint with Julia Hartmann and Daniel Krashen, builds on the method of patching, and introduces a new notion of refinement. Using that, we obtain local-global principles for quadratic forms and central simple algebras over the fields we consider, and also our results on numerical invariants of fields.

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