SCHEDULE OF THE INTRODUCTORY LECTURES (MAY 17-19, 2002)

Unless otherwise noted, all introductory talks will be in Blocker 156.

NOTE
Most of the introductory lectures will follow portions of the following book:

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Springer-Verlag, 2nd edition, 1997), by David A. Cox, John Little, and Donal O'Shea

(This book is abbreviated CLO in the schedule below.) Any topics outside of CLO will be chosen mainly from Chapters 8 and 9 of another book:

Complexity and Real Computation (Springer Verlag, 1998), by Lenore Blum, Felipe Cucker, Michael Shub, and Steve Smale).

Additional references will be clearly detailed during the lectures.

FRIDAY, May 17, 2002
9:00-10:00	Hal Schenck	Geometry, Algebra, and Algorithms (Ch. 1 of CLO)
10:00-10:30	COFFEE!
10:30-11:30	Hal Schenck	Groebner Bases (Ch. 2 of CLO)
11:30-13:00	LUNCH!
13:00-14:00	J. Maurice Rojas	Companion Matrices and Sturm's Theorem
14:00-14:30	COFFEE!
14:30-15:30	Art Belmonte	Maple/Matlab Lab (Blocker 131)
15:30-16:30	J. Maurice Rojas	The Fundamental Theorem of Algebra and Complexity

SATURDAY, May 18, 2002
9:00-10:00	J. Maurice Rojas	Linear Optimization and Polyhedral Geometry
10:00-10:30	COFFEE!
10:30-11:30	Peter Stiller	Resultants and Generalized Characteristic Polynomials
11:30-13:00	Lunch
13:00-14:00	Hal Schenck	The Algebra/Geometry Dictionary (Ch. 4 of CLO)
14:00-14:30	COFFEE!
14:30-15:30	Hal Schenck	Macaulay2 Lab (Blocker 131)
15:30-16:30	Paulo Lima-Filho	Elimination Theory (Ch. 3 of CLO)

SUNDAY, May 19, 2002
9:00-10:00	Hal Schenck	Projective Algebraic Geometry (Ch. 8 of CLO)
10:00-10:30	COFFEE!
10:30-11:30	Hal Schenck	The Dimension of a Variety (Ch. 9 of CLO)
11:30-13:00	Lunch
13:00-14:00	Paulo Lima-Filho	Invariant Theory (Ch. 7 of CLO)
14:00-14:30	COFFEE!
14:30-15:30	Ruchira Datta	Singular Lab (Blocker 131)
15:30-16:30	Peter Stiller	Robotics and Computer Vision (Ch. 6 of CLO)