This workshop was a joint effort of both special semesters that have been held concurrently at MSRI, Foundations of computational mathematics and Symbolic computation in geometry and analysis. The organisers were

	Jean-Pierre Dedieu	(madedieu@math.cityu.edu.hk)
	Marie-Francoise Roy	(costeroy@univ-rennes1.fr)
	Mike Shub	(mshub@us.ibm.com)
	Bernd Sturmfels	(bernd@kurims.kyoto-u.ac.jp)

The invited speakers at the workshop were

	D. Bini (Scuola Normale Superiore, Pisa):
	"Numerical approximation of polynomial roots"
	W. Decker (Universitaet des Saarlands):
	"Primary decomposition: The state of the art"
	J.-C. Faugere (Université Paris VI):
	"New generations of Gröbner basis algorithms"
	L. Gonzales-Vega (Universidad Santander):
	"Polynomial systems in industry: some concrete examples"
	T.-Y. Li (Michigan State University):
	"Polyhedral homotopies"
	J.-P. Merlet (INRIA, Nice):
	"Applications to mechanism theory, molecular chemistry and signal processing"
	L.M. Pardo (Universidad Santander):
	"Symbolic solving: getting closer to the barrier"
	S. Smale (City University of Hong Kong):
	"Some aspects of complexity for equation solving"
	F. Sottile (University of Toronto):
	"Schubert calculus and control theory"
	M. Todd (Cornell University):
	"Designing efficient homotopy algorithms using Riemannian geometry"

with additional lectures and software demonstrations during the afternoons.