3.30 p.m.
Splitting ramification of Brauer classes on arithmetic surfaces
R. Parimala
Emory University, U.S.A.
08-08-12

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Abstract

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.