Chennai Mathematical Institute


3:30 pm, Lecture Hall 5
Rost invariant over function fields of p-adic curves

V Suresh
Emory University, Atlanta, USA.


Let $F$ be a field and $G$ an absolutely almost simple simply connected algebraic group over a field $F$. Rost has shown that there is a functorial map $H^1(F, G) \to H^3(F, Q/Z(2))$. We discuss the injectivity of this map when $F$ is a function field of a $p$-adic curve, with special reference to $G = SL_1(D)$, where $D$ is a central simple algebra over $F$ of index coprime to $p$.