Determining division algebras via splitting fields
Kelly McKinnie, University of Montana

If two quaternion algebras have the same finite splitting fields does it follow that the algebras are isomorphic? What if they are only assumed to have the same maximal subfields? In this talk we will discuss the present state of knowledge on these questions and also discuss joint work with D. Krashen on a generalization to the questions for p-torsion division algebras.