pt. 1. Historical data. Jerzy Plebanski : the quest for new worlds / H. Garcia-Compean [and others]. Pleasant memories with Jerzy Plebanski / D. Finley. My recollections of Jerzy Plebanski / A. Trautman. Working with Pleban / I. Robinson. List of Plebanski's publications -- pt. II. Invited papers (proceedings part). Organizing committee. The higher-energy precursor of the AdS/CFT correspondence / X. Amador [and others]. How black holes grow / A. Ashtekar. Some theorems related to the Jacobi variational principle of analytical dynamics / S.L. Bazanski. Horizon structure of Born-Infeld black hole / N. Breton. Space-time torsion contribution to quantum interference phases / A. Camacho & A. Macias. Squeezing operator and squeeze tomography / O. Castanos [and others]. A producer of universes / R. Cordero & E. Rojas. Moyal star-product on a Hilbert space / G. Dito. Null-Kahler structures, symmetries and integrability / M. Dunajski & M. Przanowski. Helicity basis and parity / V.V. Dvoeglazov. Second order supersymmetry transformations in quantum mechanics / D.J. Fernandez C. & A. Ramos. Generalized symmetries for the sDiff(2) Toda equation / D. Finley & J.K. Mciver. Differential equations and Cartan connections / S. Frittelli [and others]. N = 2 String geometry and the heavenly equations / H. Garcia-Compean. Noncommutative topological and Einstein gravity from noncommutative SL(2, C) BF theory / H. Garcia-Compean [and others]. Conservation laws, constants of the motion, and Hamiltonians / J. Goldberg. Electromagnetic wavelets as Hertzian pulsed beams in complex spacetime / G. Kaiser. Generalized k-deformations and deformed relativistic scalar fields on noncommutative Minkowski space / P. Kosinski [and others]. Structure formation in the Lemaitre-Tolman cosmological model (a non-perturbative approach) / A. Krasinski & C. Hellaby. Ramond-Ramond fields in orientifold backgrounds and K-theory / O. Loaiza-Brito. Large N field theories, string theory and gravity / J. Maldacena. Yang-Mills type BRST and co-BRST algebra for Teleparallelism / E.W. Mielke & A.A. Rincon Maggiolo. The double role of Einstein's equations : as equations of motion and as vanishing energy-momentum tensor / M. Montesinos. Alternative elements in the Cayley-Dickson algebras / G. Moreno. Coherent state map and deformations of Moyal product / A. Odzijewicz. On uncertainty relations and states in deformation quantization / M. Przanowski & F.J. Turrubiates. On the Dirac-Infeld-Plebanski delta function / O. Rosas-Ortiz. Mathematical structures in perturbation quantum field theory / M. Rosenbaum. A note on the foundation of relativistic mechanics : covariant Hamiltonian general relativity / C. Rovelli. The Magnus series / L. Saenz & R. Suarez. Singular integral equation method for the construction of cylindrical wave solutions of the Einstein-Weyl equations / N.R. Sibgatullin, A.A. Garcia & V.S. Manko. Geometric POV-measures, pseudo-Kahlerian functions and time / M. Skulimowski. Teleparallelism, modified Born-Infeld nonlinearity and space-time as a micromorphic ether / J.J. Slawianowski. Einstein's intuition and the post-Newtonian approximation / J. Stachel. Deformation theory and physics model building / D. Sternheimer. Lanczos potentials via the HH formalism / G.F. Torres del Castillo. Spin foam model for 3D gravity in the continuum / J.A. Zapata -- pt. III. Informal part. Ecology of the Riemann tensor / B. Mielnik. Poem to Prof. Dr. Jerzy F. Plebanski / N.V. Mitskievich (Mickiewicz).
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SUMMARY OR ABSTRACT
Text of Note
One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebaski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.
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Topics in mathematical physics, general relativity, and cosmology in honor of Jerzy Plebański.