The Sixth Conference on Clifford Algebras and their Applications in Mathematical Physics, Tennessee Technogical University, May 20-26, 2002, Cookville, Tennessee

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DDMS-0201303Rafal Ablamowicz and John RyanThis award provides partial support for active research mathematicians andscientists with limited means of support to attend in The 6th Conference onClifford Algebras and their Applications in Mathematical Physics to be held atthe Tennessee Technological University from May 20 through May 26, 2002, inCookeville, Tennessee. The award, together with other funding, will providetravel support for some of the speakers and for some participants who do nothave funds available through other source, with priority given to graduatestudents, recent Ph.D.'s, minorities and women. As part of the conference, aLecture Series on Clifford Algebras and Applications aimed at graduate studentsand recent Ph.D.'s will be presented on May 18 and 19, 2002.The 6th Conference will be sponsored by the National Science Foundation, theAmerican Mathematical Society, the International Society for Analysis, itsApplications and Computation (ISAAC), University of Arkansas, George MasonUniversity, and the Tennessee Technological University. The organizers of theconference look for interaction among mathematicians, scientists and engineers.The conference will include the following speakers, five sessions, six 90 minutelectures, and other activities:Speakers: Christian Bar, Helga Baum, Carlos A. Berenstein, Michael Eastwood, BertfriedFauser, Alexander J. Hahn, Jacques Helmstetter, David Hestenes, Tadeusz Iwaniec,Jan J. Koenderink, Bertram Kostant, Heinz Kruger, Anthony Lasenby, Shahn Majid,Michael McCarthy, Marius Mitrea, Victor Nistor, Tao Qian, Lee Smolin, JosephVarilly, S.L. Woronowicz, Sijue WuSessions:- Clifford analysis (Dirac operators, Wavelets, non-linear transformations,Harmonic analysis/Fourier analysis, Singular integral operators, Discretepotential 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, Quaternionicgeometry)- Mathematical structures (Hopf algebras and quantum groups, Category theory,structural methods, Quadratic forms, Hermitian forms, Witt groups, Cliffordalgebras over arbitrary fields, Lie algebras, spinor representations,exceptional Lie algebras, super Lie algebras, Clifford algebras and theirgeneralizations, Infinite dimensional Clifford algebras and Clifford bundles)- Physics (Perturbative renormalization and Hopf algebra antipodes, Spectraltriples and elementary particle physics, q-deformations and noncommutativespacetime, Quantum Field Theory using Hopf algebras and other algebraictechniques, Spin foams and quantum gravity, Quaternionic quantum mechanics andquantum fields, Dirac equation in electron physics, Electrodynamics,Non-associative structures, octonions, division algebras and their applicationsin 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, 2002):Lecture 1: Introduction to Clifford algebras (Pertti Lounesto)Lecture 2: Mathematical structure of Clifford algebras (Ian R. Porteous)Lecture 3: Clifford analysis (John Ryan)Lecture 4: Clifford algebras in mathematical physics (Heinz Kruger)Lecture 5: Clifford algebras in engineering (Jon Selig)Lecture 6: Clifford algebras in differential geometry (Tom Branson)Additionally, poster session, round table discussion, and book exhibits are alsoplanned. The organizers expect to recruit two additional speakers. Further information is available athttp://math.tntech.edu/rafal/cookeville/cookeville.html.