MATH Seminar

Title: Quadratic forms over function fields of p-adic curves
Colloquium: Algebra
Speaker: Suresh Venapally of Emory University
Contact: Susan Guppy, sguppy@emory.edu
Date: 2010-02-26 at 4:00PM
Venue: MSC W201
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Abstract: Let Qp be the p-adic completion of the field of rational numbers Q at the discrete valuation given by a prime p. Every quadratic form in 5 variables over Qp has a non-trivial zero. It has been a long standing open question whether every quadratic form in 9 variables over the rational function field Qp(t) over Qp has a non-trivial zero. In this talk we shall trace the history of this question as well as the current status.