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 )
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. |