Products of Pfister neighbours
Speaker: Dr. James O'Shea (NUIM)
Time: 4.00 PM
Date: Monday 07th October 2013
Location: Casl Seminar Room Block 8 (Belfield Office Park)
Abstract:
We will discuss the behaviour of two related invariants concerning the isotropy of multiples of quadratic forms. In particular, given a form over a field F, we will study the value sets of these invariants as they range over all extensions of F, determining admissible and inadmissible entries and resolving some questions recently raised by Berhuy, Grenier-Boley and Mahmoudi. We will also establish a new lower bound on the first Witt index of products of Pfister forms, and outline some related results regarding products of transcendental Pfister forms.
Series: Algebra & Number Theory Seminar Series
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