The 6th Conference on Clifford Algebras
and their Applications in Mathematical Physics, Tennessee Technological
University, Cookeville, Tennessee,

May 20-25, 2002
**Lecture Series on Clifford Algebras
and Applications, May 18-19, 2002**

**Sponsorship:** This conference is co-sponsored by the American
Mathematical Society and by the International
Society for Analysis, its Applications and Computation (ISAAC). Professor
Steven Krantz, sk@math.wustl.edu,from
Washington University represents AMS on the Scientific Committee. Financial
assistance is provided by the College of Arts and Sciences and the Center
for Manufacturing Research at Tennessee Technological University, the Graduate
School at the University of Arkansas at Fayetteville, and the College of
Arts and Sciences at George Mason University.

**General Information: **The 6th Conference on Clifford Algebras
will be a continuation of a 16 year old sequence of international conferences
devoted to the mathematical aspects of Clifford algebras and their varied
applications in mathematical physics, cybernetics, robotics, image processing
and engineering. Previous meetings took place at: University of Kent, Canterbury,
U.K., 1985; University of Montpellier, Montpellier, France, 1989; University
of Gent, Gent, Belgium, 1993 and University of Aachen, Germany, 1996. The
most recent meeting took place in Ixtapa, Mexico, 1999. Among mathematical
structures considered are: Grassmann algebras and supersymmetry, quaternions,
octonions, division and Clifford algebras over arbitrary fields, other
algebraic structures including quantum groups and multivector algebras,
spin structures and Clifford bundles, local and global problems for Dirac
operator, Connes spectral triples and noncommutative geometry, Clifford
analysis and quantum logic. Applications in physics cover a wide range
of topics from classical mechanics to general relativity, twistor methods,
electromagnetism, elementary particle physics, quantum mechanics, perturbative
renormalization, spin foam models and quantum gravity. Applications in
robotics include double quaternions, rigid motions, constrain manifolds,
inverse kinematics, robot arm geometry. For more information see the conference
web page http://math.tntech.edu/rafal/cookeville/cookeville.html.

**Preliminary Registration: **To pre-register,
go to the registration
page and enter your data into the database managed by Bertfried Fauser,
Bertfried.Fauser@uni-konstanz.de.
Once you pre-register, you will automatically receive updates on a regular
basis. Registration deadline is **March 15, 2002** (both registration
form and fees) although on-site registration will also be possible at a
higher cost. A complete list of all conference fees and fees payment information
can be found at http://math.tntech.edu/rafal/cookeville/fees.html.
The Registration and Fees Payment Form can be downloaded from http://math.tntech.edu/rafal/cookeville/regform.txt.

**Call for Papers and Posters: **Contributed 30 minute papers and
posters are invited. Abstracts must be submitted by **March 15, 2002**,
via the registration
page.

**Organizers: **Rafal Ablamowicz, rablamowicz@tntech.edu,
Department of Mathematics, Box 5054, Tennessee Technological University,
Cookeville, TN 38505, U.S.A., tel. (931) 372-3441, 372-3569, fax: (931)
372-6353, and John Ryan, jryan@comp.uark.edu,
Department of Mathematics, University of Arkansas, Fayetteville, AR 72701,
U.S.A., tel: 501 575 6334, fax: 501 575 8630.

**Scientific Committee: **Rafal Ablamowicz, Tom Branson, Ugo Bruzzo,
Joachim Cuntz, Bertfried Fauser, Bernard Jancewicz, Michael McCarthy, Steven
Krantz (AMS Representative), Artibano Micali, Marius Mitrea, Victor Palamodov,
Ian R. Porteous, Tao Qian, Waldyr Rodrigues, Marcos Rosenbaum, John Ryan,
Garret Sobczyk, Frank Sommen, Wolfgang Sprößig

**Main Speaker: **Joseph C. Varilly, Universidad de Costa Rica

**Plenary Speakers: **Helga Baum (Humboldt Universität zu Berlin),
Carlos A. Berenstein (University of Maryland), Michael Eastwood (University
of Adelaide), Bertfried Fauser (Universität Konstanz), Alexander J.
Hahn (University of Notre Dame), Jacques Helmstetter (Université
de Grenoble I), David Hestenes (Arizona State University), Tadeusz Iwaniec
(Syracuse University), Palle Jorgensen (University of Iowa), Jan J. Koenderink
(Universiteit Utrecht), Heinz Krüger (Universität Kaiserslautern),
Anthony Lasenby (Cambridge University), Shahn Majid (University of London),
Michael McCarthy (University of California), Marius Mitrea (University
of Missouri), Victor Nistor (Pennsylvania State University), Zbigniew Oziewicz
(UNAM), Tao Qian (University of Macau), S.L.Woronowicz (Warsaw University)

Clifford analysis:Dirac operators; Wavelets, non-linear transformations; Harmonic analysis/Fourier analysis; Singular integral operators; Discrete potential theory; Initial value and boundary value problems

Geometry:Geometric index theory, Conformal and noncommutative geometry, Geometric integral transforms, Spin structures and Dirac operators, Twistors, tractors, and related topics, Invariant differential operators, Quaternionic geometry

Mathematical structures:Hopf algebras and quantum groups; Category theory, structural methods; Quadratic forms; Hermitian forms; Witt groups; Clifford algebras over arbitrary fields; Lie algebras, spinor representations, exceptional Lie algebras, super Lie algebras; Clifford algebras and their generalizations; Infinite dimensional; Clifford algebras and Clifford bundles

Physics:Perturbative renormalization and Hopf algebra antipodes; Spectral triples and elementary particle physics; q-deformations and noncommutative spacetime; Quantum Field Theory using Hopf algebras and other algebraic techniques; Spin foams and quantum gravity; Quaternionic quantum mechanics and quantum fields; Dirac equation in electron physics; Electrodynamics; Non-associative structures, octonions, division algebras and their applications in physics

Applications in computer science, robotics, engineering:Quantum computers, error correction, algorithms; Robotics, inverse kinematics, space control, navigation, cybernetics, image processing and engineering; Neural networks

Lectures on Clifford algebras and applications, May 18 and 19, 2002I. Introduction to Clifford Algebras, II. Mathematical Structure of Clifford Algebras, III. Clifford Analysis, IV. Clifford Algebras in Physics, V. Clifford Algebras in Science and Engineering, VI. Clifford algebras in Differential Geometry

Round Table Discussion:Clifford algebras in undergraduate and graduate education. In what undergraduate courses can Clifford algebra be most successfully taught? Clifford algebras as an alternative language to matrix methods. Is there room for Clifford algebra in the undergraduate classroom? Undergraduate research in Clifford algebras. Clifford algebra in industry.

Poster SessionandBook Exhibitsby Birkhäuser, Springer Verlag, American Mathematical Society, Cambridge University Press