SMS scnews item created by Bill Unger at Tue 24 Jul 2007 1129
Type: Seminar
Distribution: World
Expiry: 26 Jul 2007
Calendar1: 26 Jul 2007 1505-1600
CalLoc1: Carslaw 535A
Auth: billu@galois.maths.usyd.edu.au

# Computational Algebra Seminar: Gao -- Grobner bases and fibre structures of points

Speaker: Shuhong Gao (Clemson University)
Title: Grobner bases and fibre structures of points
Time & Place: 3:05-4pm, Thursday 26 July 2007, Carslaw 535

Abstract:
Classical elimination theory deals mainly with the question when partial
solutions can be extended to complete solutions for a polynomial system.
We ask whether it is possible to predict the exact number solutions
of a system without actually solving it. In this talk, we present
some a relationship between certain Grobner bases and the fibre
structures of the solution variety for a polynomial system (that defines a
$0$-dimensional radical ideal).  We show that from a Grobner basis one can