Spinors, Twistors, Clifford Algebras and Quantum Deformations

Spinors.- Structure of matrix manifolds and a particle model.- Complex stuctures and the Elie Cartan approach to the theory of spinors.- Spin structures on hypersurfaces and the spectrum of the Dirac operator on spheres.- Algebraic construction of spin structures on homogeneous spaces.- The Kummer configuration and the geometry of Majorana spinors.- Pauli-Kofink identities and pure spinors.- General covariance and spinors.- Tensored division algebras: origin of geometry, spinors and symmetry.- G-Structure for hypermanifolds.- Towards a unification of “everything” with gravity.- Generalized Fierz identitites and the superselection rule for geometric multispinors.- Electrons, photons and spinors in the Pauli algebra.- Twistors.- Twistors and supersymmetry.- A twistor-like description of D=10 superstrings and D=11 supermembranes.- Born’s reciprocity in the conformal domain.- Self-dual Einstein supermanifolds and supertwistor theory.- An approach to the construction of coherent states for massless particles.- Clifford Algebras.- What is a bivector ?.- Monogenic forms on manifolds.- On invertibility of the Clifford algebra elements with disjoint supports.- Clifford algebras and algebraic structure of fundamental fermions.- Clifford algebra of two-forms, conformal structures and field equations.- Dirac form of Maxwell equation; ?n-graded algebras.- Travelling waves within the Clifford algebra.- Hamiltonian mechanics with geometric calculus.- Grassmann mechanics, multivector derivatives and geometric algebra.- Intrinsic non-invariant forms of Dirac equation.- 2-spinors, twistors and supersymmetry in the space-time algebra.- Quantum Deformations.- Quantized Minkowski space.- D = 4 Quantum Poincaré algebra and finite difference time derivative.- Quantum Lorentz groupand q-deformed Clifford algebra.- Isotropic q- Lorentz group.- Lorentz algebra and twists.- On a noncommutative extension of electrodynamics.- Bicovariant differential calculus and q-deformation of gauge theory.- Cyclic paragrassmann representations for covariant quantum algebras.- Hecke symmetries and braided Lie algebras.- Anyonic quantum groups.- On S-Lie-Cartan pairs.- New real forms of Uq(G).- Related Topics.- ?3-graded structures.- On Jordan block form.- Unified theory of spin and angular momentum.- Noetherian symmetries in particle mechanics and classical field theory.- Liénard-Wiechert Yang-Mills fields.- The twist prescription in the topological Yang-Mills theory.- On symmetry properties of classical Lagrange functions under rotations.- Tunnelling of neutral particle with spin 1/2 through magnetic field.- List of participants.