Event calendar file
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.
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