Similitudes of algebras with involution under odd-degree extensions
Speaker: Professor David Lewis (UCD)
Date: Wed 11th October 2006
Location: Mathematical Sciences Seminar Room
We discuss the following recent result of P. B. Barquero-Salavert: Let F be a field and L/F be an odd-degree extension. Let (A_1, sigma_1) and (A_2, sigma_2) be two central simple algebras with involution. We investigate in what cases (including when char(F)=2), we have that (A_1, sigma_1) and (A_2, sigma_2) are similar over L implies they are already similar over F. This will have applications to the solution of injectivity problems in nonabelian galois cohomology.
(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)