NATO Advanced Study Institute

Computational Noncommutative Algebra and Applications

July 6--19, 2003

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	There is a coffee break midway in each three-hour lecture.
July 7	Part I: Underlying Theory
8:45-9:00	Jim Byrnes
	Prometheus Inc. Brief opening remarks
9:00-12:00	Andreas Dress
	Universität Bielefeld, Germany In a vector space, all bases are equal, but some are more equal    [PDF abstract]
14:30-17:30	Garret Sobczyk
	Universidad de las Americas, Mexico Clifford geometric algebras in multilinear algebra and non-Euclidean geometries    [PDF abstract] [PDF paper]
17:30-18:00	Fausto Pedrazzini
	Director NATO ASI Programme The NATO Science Programme: Past, Present and Future
July 8
9:00-12:00	Yiannis Aloimonos
	University of Maryland, USA Action representations and harmonic computational geometry
14:30-17:30	Michael Clausen
	Universität Bonn, Germany A group theoretical approach to content-based multimedia information retrieval    [PDF abstract] [PDF paper]
July 9
9:00-12:00	Mike Wicks
	US Air Force Rome Laboratories, USA Four problems in radar    [PDF abstract] [PDF paper]
14:30-17:30	Valeri Labunets
	Urals State Technical University, Russia Introduction to generalized classical and quantum signal and system theories on groups and hypergroups    [PDF abstract] [PDF paper]
20:30-22:00	Poster session
	Contributed papers
July 10
9:00-12:00	Jonathan Selig
	South Bank University, UK Lie Groups and Lie algebras in robotics    [PDF abstract] [PDF paper]
14:30-17:30	William Baylis
	University of Windsor, Canada The geometry of paravector space, with applications to relativistic physics    [PDF abstract] [PDF paper]
July 11
9:00-12:00	Jim Byrnes
	Prometheus Inc., USA PONS and Certain Group Algebras    [PDF abstract] [PDF paper]
14:30-15:45	Valeri Labunets
	Urals State Technical University, Russia Clifford algebras as unified language for image processing and pattern recognition    [PDF abstract] [PDF paper]
16:15-17:30	Week I panel discussion
July 12-13
	Trips to Florence, Siena, and Dievole
July 14	Part II:Specific Applications
9:00-12:00	Dan Rockmore
	Dartmouth College, USA FFTs on Groups--State of the Art    [PDF abstract] [PDF paper]
14:30-17:30	Richard Tolimieri
	Prometheus Inc., Canada Group theoretic methods in image processing    [PDF abstract] [PDF paper]
July 15
9:00-12:00	Joan Lasenby
	Cambridge University, UK Using Clifford/geometric algebra in robotics    [PDF abstract]
14:30-17:30	Gerald Sommer
	Christian-Albrechts-Universität zu Kiel, Germany The Clifford algebra approach to robotic vision    [PDF abstract] [PDF paper]
July 16
9:00-12:00	William Moran
	Prometheus Inc., USA Group theory in radar and signal processing    [PDF abstract] [PDF paper]
14:30-17:30	Timothy Havel
	Massachusetts Institute of Technology, USA Representations of quantum operations in geometric algebra    [PDF abstract]
20:30-22:00	Poster session
	Contributed papers
July 17
9:00-10:15	Harold Shapiro
	Prometheus Inc., Sweden Complementary Pairs of Multilinear Polynomials    [PDF abstract]
10:45-12:00	Bahman Saffari
	Université de Paris-Sud, France Complex-valued Golay pairs of complementary sequences    [PDF abstract]
14:30-15:45	Bahman Saffari
	Université de Paris-Sud, France Complex-valued Golay pairs of complementary sequences (continued)    [PDF abstract]
16:15-17:30	William Baylis
	University of Windsor, Canada The quantum/classical interface: a geometric approach from the classical side    [PDF abstract] [PDF paper]
July 18
9:00-12:00	Future Directions and Open Problems I
14:30-17:30	Future Directions and Open Problems II

Home | Getting There | Purpose | Application | Schedule | Lecturers | Posters | Participants