School of Mathematics Colloquium
On a conjecture of Colliot-Th'el`ene concerning quadratic spaces
by Prof. Ivan Panin (Petersburg Department of Steklov Institute of Mathematics, Russia)
Thursday, December 5, 2013
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
Description |
ABSTRACT: Let $X$ be an affine smooth complex algebraic variety and let $(V,q)$ be a quadratic space over the ring of regular function on $X$. Let $u$ be an invirtible regular function on $X$. Assume that $q$ represents $u$ over the rational functions on $X$. We will prove that for any point $x$ in $X$ the space $q$ represents the function $u$ in the local ring $O_{X,x}$ of the point $x$. This solves in affirmative the conjecture of Colliot-Th'el`ene mentioned in the title. |