PROGRAM - VERSION OF JUNE 16, 1999
THE FIFTH INTERNATIONAL CONFERENCE
CLIFFORD ALGEBRAS and THEIR APPLICATIONS
HOTEL PRESIDENTE INTER-CONTINENTAL, IXTAPA, MEXICO, June 27 - July 4, 1999
http: //math.tntech.edu/rafal/mexico/mexico.html
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detailed program of the entire conference as a DVI file dated June 16,
1999, from here:
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Note: the .dvi files above are up-to-date.
The web information below has been updated to match the .dvi file. (6/19/99)
Sunday, June 27, 1999
15:00-19:00 Registration
19:00-00:00 Supper & cocktail de Bienvenida
Everyday Sessions:
00:00-09:00 breakfast
09:00-11:25 three Plenary lectures for 45'
11 :25-11:45 coffee break
11:45-13:45 Plenary & Paraller lectures
13:45-15:00 dinner
15:00-17:00 Plenary & Parallel lectures
17:00-17:20 coffee break
17:20-19:45 three Plenary lectures for 45'
19:45-00:00 supper
Chairperson: Each lecture is to be followed by a 5 minute break. Time lectures includes discussion & question.
Monday, June 28, 1999, Salon Zihuatanejo
Chairman: Ludwik Dabrowski
11:45-12:05 Tadeusz Lulek (Rzeszow), Quantum groups and Bethe ansatz
12:10-12:55 Hongbo Li, Doing geometric research with Clifford algebra
13:00-13:20 Pierre Angles, Triality in cliffordian framework
13:25 - 13:45 Michaela Vancliff (Texas) - not confirmed
Monday, June 28, 1999, Salon Guerrero
Chairman: John Stephen Roy Chisholm
08:50 - 09:00 Opening, Zbigniew Oziewicz
09:00 - 09:45 Marcelo A. Aguilar (Mexico), New proof of the periodicity theorem of Raul Bott
09:50 - 10:35 James Stasheff, - not confirmed or Gregory Naber, - almost confirmed
10:40-11:25 Artibano Micali (Montpellier), Algebres de Clifford in biology - almost confirmed
Chairman: James Stasheff or Daniel Kastler
11:45 - 12:30 Michel Dubois-Violette, Noncommutative differential geometry - not confirmed or Daniel Kastler Alain Connes' noncommutative geometry - scene of a new marriage between physics and mathematics
12:35 - 12:55 Andrzej Borowiec, Differential operators for noncommutative algebra
13:00 - 13:20 Sergei Silvestrov, Colored Lie algebras
13:25-13:45 Cesar Bautista, (Puebla), Quantum groups and Clifford algebras
Dedicated to Gian - Carlo Rota
Chairman: Raymundo Bautista
15:00-15:20
15:25 - 16:10 David Ritz Finkelstein (Atlanta) & Heinrich Saller, Clifford algebra as unifying quantum language
16:15-17:00 Bernd Schmeikal (Wien), Clifford algebra of quantum logic.
Chairman: David N. Yetter
17:20 18:05 Leopoldo Roman (Mexico), Quantum logic
18:10-18:55 Zibgniew Oziewicz, Clifford coagebra and Clifford biagebra
19:00-19:45 Luis Verde-Star, Hopf algebras in analysis
Tuesday, June 29, 1999, Salon Guerrero
Chairman: David Ritz Finkelstein
09:00-09:45 David N. Yetter, Quantales and logic
09:50-10:35 Gaetano Fiore, Deformation of Clifford algebra
10:40-11:25 Bernhard Drabant (Cambridge), Survey of recent results on bialgebra factorization
Chairman: Michel Dubois-Violette
11 :45-12:30 John Snygg, Two nibbles at the Gauss & Bonner formula for n-dimensions
12:35-12:55 Jerzy Franciszek Plebanski, Maciej Przanowski & Francisco J. Turrubiates, Lifts of the tensor fields
13:00-13:45
Chairman: Leopoldo Roman
15:00 - 15:20 Alan Macdonald, An elementary construction of the geometric algebra
15:25 - 15:45 Christian B. U. Perwass & Joan Lasenby, A novel axiomatic derivation of geometric algebra
15:50-16:10 Johan G. F. Belinfante, Clifford algebras and construction of the basic spinor and semi-spinor modules over complex orthogonal Lie algebras
16:15 - 16:35 Ewa Graczynska & Zbigniew Oziewicz, Birkhoff's theorems via operads
16:40-17:00 Blyumin & Krivovyaz, Invertibility and regularity in superalgebras with applications to Clifford algebra
Chairman: Marcos Rosenbaum
17:20-18:05 Stanislaw Lech Woronowicz, Topics in non-compact quantum groups
18:10 18:55 Fernando J. O. de Souza, Kuperberg invariant and Hopf algebras
19:00-19:45 Daniel Kastler, Alain Connes' noncommutative geometry - scene of a new marriage between physics and mathematics
Salon Zihuatanejo
Chairman: Zbigniew Oziewicz
11:45 - 12:05 Jose Ricardo Zeni & Zbigniew Oziewicz, Ordinary differential equations: symmetry and order reduction
12:10 - 12:30 Guillermo Arnulfo Vasquez Coutino, Comparison of two types of graphical calculus
12:35 - 12:55 David Miralles & Jayme Vaz, An algebraic approach to the change of signature
13:00-13:20 Bertfried Fauser & Rafal Ablamowicz, The decomposition of Clifford algebras of arbitrary bilinear form
13:25-13:45 Rafal Ablamowicz & Bertfried Fauser, Hecke algebra representations in ideals generated by q-Young Clifford idempotents
Chairman: Luis Verde-Star
15:00 15:45 Julian Lawrynowicz, Clifford analytical approach to stochastic geometry
15:50 - 16:10 Yongge Tian, Matrix over the complex quaternions
16:15 - 16:35 Stenhen Blake, Manifolds whose points are multivectors
16:40 - 17:00 Yakov Krasnov (Ramat-Gan), Symmetries of Dirac operator
Tuesday Night: FIESTA MEXICANA
Wednesday, June 30, 1999, Salon Guerrero
APPLIED CLIFFORD ALGEBRA
Organizers: Eduardo Bayro Corrochano & Garret Sobczyk
Chairman: William E. Baylis
08:50 - 09:00 Opening remarks
09:00-10:00 David Hestenes (USA), Old wine in new bottles: a new algebraic framework for computational geometry
10:00-10:30 Garret Sobczyk (Mexico), A multivector approach to Jordan decomposition and SVD
10:30-11:00 Ambjorn Naeve (Sweden), Discrete integration and derivation
Chairman: Ambjorn Naeve
11:45-12:15 Lars Svenson (Sweden), Projective geometric computing
12:15-12:45 Rafal Ablamowicz (USA), Clifford algebra computations with the Maple program CLIFFORD 4.0
12:45-13:15 William E. Baylis (Canada), Applications of Clifford algebra to electrical engineering
13:15-13:45 E. Bayro-Corrochano (Mexico), and Garret Sobczyk (Mexico), Lie algebras of bivectors and applications
Chairman: Rafal Ablamowicz
15:00-16:00 J. M. McCarthy (USA), The Clifford algebra on E4 and the optimization of GS robot design
16:00-16:30 Stephen Blake (UK), Geometric algebra solution for robot vision using an uncalibrated wrist-mounted camera
16:30-17:00 J. M. Selig (U.K.), Robot kinematics and flags
Chairman: J. Selig
17:30-18:00 V. Guenov & P. Zsombor-Murray (Canada), Application of Clifford algebras to rigid body kinematic geometry
18:00-18:30 L. Dorst (Holland), Objects in contact: the common 'wave propagation' geometry of collision detection, object growing and milling
18:30-19:00 E. Bayro-Corrochano (Germany), and D. Kaehle (Germany), Geometric algebras for 2D and 3D kinematics robot manipulations
19:00-19:30 J. Finat (Spain), Using perceptual symmetries for monitoring action trajectories
Salon Zibuatanejo
NONASSOCTATTVE STRUCTURES
Organizer: Lev Sabinin
Chairman: James Stasheff
11:45 - 12:30 Lev Sabinin, Nonassociative geometry and discrete space-time
12:35 - 13:20 Alexander Nesterov, Smooth loop fibre bundles and non - associative gauge theories
13:25 - 13:45 Liudmila Sabinina, Nonassociative algebraic structures and spaces with symmetries
Chairman: Lev Sabinin
15:00-15:45 Tenian Dray, Preferred complex sublagebra of the octonions
15:50 - 16:35 Jerzy Kocinski (Warszawa), Nonassociative groups connected with Clifford groups
16:40-17:00 Larissa V. Sbitnieva, Nonassociative geometry of special relativity
Thursday, July 1, 1999, Salon Guerrero
ELEMENTARY PARTICLES & GRAVTTY
Organizers: Leopold Halpern & Kurt Just
Chairman: Leopold Halpern
09:00-09:45 Marcos Rosenbaum, Short scale structure of space - time and the Dirac operator
09:50-10:35 Anthony Lasenby, Gauge theory of the gravity, geometric algebra and scale invariance
10:40 - 11:25 James Crawford (Penn), Scale invariance in hypergravity
Chairman: Andrzej Borowiec
11:45-12:30 Kurt Just ((Tucson), Dirac theory without Pauli terms
12:35 - 12:55 Kurt Just (Tucson) & Zbigniew Oziewicz, Recovery of Dirac equations from their solutions
13:00-13:20 Valeri V. Dvoeglazov, Quantum field constructions in the (1/2,0)+ (0,1/2) - representation
13:25 - 13:45 Anthony Lewis, Eletron scattering without spin bases
Chairman: Kurt Just
15:00-15:45 Josip Ml. Rangelov, Model of leptons and hadrons and /or Michael P. Ryan Jr.,
15:50 - 16:10 A. Garret Lisi, Geometric origin of the Dirac Hestenes spinor field in general relativity
16:15 - 16:35 William M. Pezzaglia Jr., Dimensionally democratic calculus and principles of polydimensional physics
16:40 - 17:00 Theodore G. Erler IV, The mathematics of the spinning particle pro
Chairman: James Crawford
17:20 - 17:40 Angelo Della Selva, Relativistic particle or Alejandro Quevedo y Runne, Elalgebra de Clifford del espacio-tiempo y las teorias de norma
17:45 - 18:05 Edkehard W. Mielke, Gravity and supergravity in Clifford algebra - valued differential forms
18:10-18:30 Hose G. Vargas, Clifford valued differential formsAndrzej
18:35-18:55 Andrzej Borowiec (Wrocllaw), Complex Einstein equations
19:00 - 19:20 Leopold Halpern, On generalization of the gravitational interaction
19:25-19:45 Norma Mankoc Borstnik, Clifford algebra in Grassmann space and the unification of spins and charges
Salon Zihuatanejo
NEURAL AND QUANTUM COMPUTING, INTERPOLATION AND OPTIMIZATION
Chairman: Chris Doran
09:00-10:00 Timothy F. Havel, S. S. Somaroo, C.-H. Tseng, Y. Sharf and D. G. Cory (USA), Geometric algebra in quantum information processing by nuclear magnetic resonance
10:00-10:30 E. Bayro-Corrochano (Germany), Geometric neural networks
10:30-11:00 Ljudmila Meister (Germany), Quaternion optimization problems in engineering
Chairman: Joan Lasenby
11:45-12:15 Joanna Clements, Joan Lasenby & C. J. Burgoyne (U.K.), Interpolation of rotations in finite difference schemes using geometric algebra
12:15-12:45 Hanna E. Makaruk (Los Alamos), Computers and algebras: i) Applications in image recognition ii) Symbolic package for quantum groups and noncommutative algebras
12:45-13:15 G. Aragon, Jose Luis Aragon & M. A. Rodriguez (Mexico), Coincidence site lattices in arbitrary dimensions
13:15-13:45 L. Traversoni (Mexico), Quaternionic treatment of vorticity
Chairman: Lars Svenson
15:00-15:30 Christian B. U. Perwass, Joan Lasenby (U.K.), The unification of multiple view tensors in computer vision
15:30-16:00 Chris Doran (U.K.), Geometric algebra and the n-view auto-calibration problem
16:00-16:30 Joan Lasenby & A. X. S. Stevenson (U.K.), Using geometric algebra for camera self-calibration
16:30-17:00 Eduardo Bayro-Corrochano (Germany), Projective reconstruction of shape and motion using invariant theory
17:30-19:30 Moderator: Garret Sobczyk
Panel on: What has been the impact of geometric algebra in research, industry and education?
David Hestenes (USA) Geometric algebra in science and education
J. McCarthy (USA) Geometric computing in robotics
Eduardo Bayro-Corrochano (Germany) Artificial perception-action systems
Joan Lasenby (U.K), From signals to multivector representation
Thursday Night: FIESTA EN LA PLAYA
Friday, July 2, 1999, Salon Guerrero
MATHEMATICAL PHYSICS
Organizers: David Ritz Finkelstein, Gerald Kaiser, Waldyr Alves Rodrigues Jr.
Chairman: Gregory Naber
09:00 - 09:45 Gerald Kaiser, Potential theory for complex distance
09:50 - 10:35 Jerzy Kocik (Urbana), Unificationof quantum and classical mechanics within the Clifford algebra (Clifford algebra valued Schroedinger equation)
10:40 - 11:25 Waldyr Alves Rodrigues Jr., Lagrangian formalism for multiform and extensor fields
Chairman: Waldyr Alves Rodrigues Jr.
11:45 - 12:05 Jean-Francois Van Huele & Manuel Berrondo, Propagators as cliffors in quantum mechanics and quantum field theory
12:10 - 12:30 Eiman Taha Abou El Dahab, Hamiltonian mechanics with Clifford algebra
12:35 - 12:55 Hugo Garcia Compefin & Jerzy Plebanski, D-branes on group manifold and deformation quantization
13:00 - 13:20 Robert Johnson, Fiber with an intrinsic action on a 1+1 dimensional spacetime
13:25-13:45 Marcelo A. Aguilar & Miguel Socolovsky, On the topology of the symmetry group of the standard model
Chairman: Eliezer Braun
15:00 15:20 Marti Ruiz Altaba, Grupos cuanticos
15:25 - 15:45 Leonardo Traversoni, Quaternionic treatment of vorticity
15:50 - 16:10 Rolf Dahm, Quaternionic projective theory and hadron transformantion laws
16:15-16:35 Valery P. Karasov, SU(n)-invariant multivector extensions of algebras u(n) in quantum many-body physics: grounds and applications
16:40 - 17:00 Franco Piazzese (Torino), A quasi-classical description of the special relativity particle
Chairman: Gerald Kaiser
17:20 - 18:05 Jose Maria Pozo (Spain) & Garret Sobczyk (Mexico), Realizations of the conformal group
18:10-18:55 William E. Baylis, Paravector subalgebras of Clifford algebra: theorems and applications
19:00 - 19:45 Eliezer Braun, The physical origins of stochasticity in thermodynamics systems
Salon Zibuatanejo
CLIFFORD ANALYSIS
Organizers: Enrique Ramirez de Arellano, John Ryan, Wolfgang Sprossig
Chairman: John Ryan
09:00 - 09:45 Enrique Ramirez de Arellano, On some spaces generated by complex order differential operators
09:50 - 10:35 Masaaki Wada & Osamu Kobayashi, The Schwarzian and Mobius transformations in higher dimensions
10:40 - 11:25 Klaus Guerlebeck (Weimar)
Chairman: Wolfgang Sprossig
11:45 - 12:05 Uwe Kaehler, On quaternionic Beltrami equations
12:10-12:30 Helmuth R. Malonek, The derivative of a monogenic function and related topics
12:35 - 12:55 Juan Bory Reyes, Higher dimensional Cauchy integral and Ahlfors surfaces
13:00 - 13:20 Emilio Marmolejo Olea, Clifford analysis: regular functions and first moments theorem
13:25-13:45 Osamu Suzuki (Tokoyo), The twistor theory of the hermitian Hurwitz pair
Chairman: Helmuth R. Malonek
15:00-15:20 Paula Cerejeiras, Reproducing kernels for hyperbolic spaces
15:25-15:45 Sirkka-Liisa Eriksson-Bique
15:50 - 16:10 Thomas Hempfling, Radial part of the Cauchy & Riemann operator
16:15 - 16:35 Xinhua Ji, Moebius transformation, Poincare metric and degenerate PDE's
16:40-17:00
Chairman: Enrique Ramirez de Arellano
17:20 - 18:05 Mircea Martin, Higher - dimensional Ahlfors & Beurling inequalities in Clifford analysis
18:10 - 18:55 John Ryan
19:00 - 19:45 Tao Qian, Fourier series and multipliers on Lipschitz surfaces
Saturday, July 3, 1999, Salon Guerrero
Clifford Analysis
Organizers: Enrique Ramirez de Arellano, John Ryan, Wolfgang Sprossig
Chairman: Frank Sommen
09:00 - 09:45
09:50-10:35
10:40 - 11:25 Tagir Salikhovich Tagirov, Quaternion and noncommutative analysis via analycities and differentiability
Chairman: Klaus Guerlebeck
11:45-12:05 Frank Sommen, Clifford analysis on super space
12:10-12:30 Wolfgang Sproessig
12:35 - 12:55 Iliana Cristina Carrillo Ibarra, On the singular operator
13:00 - 13:20 Swanhild Bernstein, Left linear Rieman problems and inverse scattering theory
13:25-13:45 ?? Krysztof P. Wojciechowski
Chairman: Xinhua Ji
15:00-15:20
15:25-15:45 Calderbank
15:50 - 16:10 Branson
16:15-17:00 Toshiaki Kori, Meromorphic spinors on locally conformally flat 4-manifolds and infinite dimensional Grassmanian
Chairman: Masaaki Wada
17:20 18:05
18:10-18:55
19:00-19:45 Closing Ceremonies & Proposal for 2002 Conference
Salon Zibuatanejo
SPINOR STRUCTURES & DIRAC OPERATORS
Organizers: Marcelo Aguilar, Micho Ourdevich & Ludwik Dabrowski
Chairman: Stanislaw Lech Woronowicz
09:00 09:45 Micho Durdevich, Quantum spin bundles
09:50 - 10:35 Ludwik Dabrowski, Metrics, spinors, algebras and back
10:40 - 11:25 Giampiero Esposito, Dirac operators and spectral geometry- not confirmed
Chairman: Micho Durdevich
11:45 - 12:30 Andreas Bette, The Dirac equation and relativistic dynamics - twistor approach
12:35 - 12:55 Pierre Angles, Conformal spinor structures
13:00 - 13:20 Robert Owczarek, Spectral problem for Dirac operator on the quantum shpere
13:25-13:45 Eduardo Garza Pina, Vectorial representation of interacting Dirac equation
Chairman:
15:00-15:45
15:45-16:10
16:15-16:35
16:40 - 17:00
The Sixth Conference on Clifford Algebras:
? Brazil 2002 Waldyr Alves Rodrigues Jr.
? USA 2002 Rafal Ablamowicz
Saturday Night: NOCHE CASINO
Last updated: June 19/vm/ra