Chennai Mathematical Institute


3.30 p.m.
Splitting ramification of Brauer classes on arithmetic surfaces

R. Parimala
Emory University, U.S.A.


In this talk, we shall explain the connection between bounding indices of division algebras in terms of their exponents and the u-invariant of fields. Such bounds for division algebras over function fields of curves over number fields are possible modulo a conjecture of Colliot Thelene on the Hasse principle for the existence of zero cycles of degree one on smooth projective varieties over number fields.