School of Mathematics Colloquium

Period-index problem for the Brauer group

by Prof. R. Parimala (Emory University, USA)

Tuesday, August 14, 2012 from to (Asia/Kolkata)
at Colaba Campus ( AG-77 )
Description
Class  field theory leads to period=index for finite dimensional division
algebras over number fields. There are open questions concerning bounding the index of algebras in terms of their period for fields finitely generated fields over prime fields. We shall explain how such bounds would lead to nontrivial consequences for the existence of rational points on quadrics.