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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

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  • 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

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  • 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

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  • 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

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

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  • Lectures on Clifford algebras and applications, May 18 and 19, 2002 I. 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

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  • 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.

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  • Poster Session and Book Exhibits by Birkhäuser, Springer Verlag, American Mathematical Society, Cambridge University Press