ICCA10

Tartu, 4–9 August 2014

10^{th} International Conference on Clifford Algebras and their Applications in Mathematical Physics

Spinors, multilinear algebra and tensor products, quadratic spaces, K-theory, Witt groups, K-theory of rings, associative algebras, algebraic combinatorics including symmetric functions, combinatorial aspects of representation theory, group actions, group rings including twisted and skew group rings, non-commutative Groebner bases, Hopf algebras, algebroids, octonions …

Geometric analysis, invariant differential operators, conformal and non-commutative geometry, geometric integral transforms, image processing, quaternion and Clifford Fourier and Wavelet transforms, robotics, structural dynamics, computer graphics, quaternion and hypercomplex neural networks, geographic information systems, optics, molecular chemistry …

Dirac operators on manifolds, calculus on manifolds; nonlinear operators, spaces and manifolds of mappings, monogenic mappings, partial differential equations on manifolds, applications to physics, connections on bundles, gauge transformations, BRST formalism, infinite-dimensional Grassmann algebra with generators …

Spectral triples and elementary particle physics, Dirac equation in electron physics, q-deformations and noncommutative spacetime, qantum field theory using Hopf algebras and other algebraic techniques, quantum gravity, quaternionic quantum mechanics and quantum fields,electrodynamics, non-associative structures, division algebras and their applications in physics, quaternions and Clifford algebra in crystallography, Clifford spaces …

Dirac operators, relations to harmonic and Fourier analysis, singular integral operators, operator algebras, functional calculi, function spaces, partial differential equations, Radon transforms, scattering theory, inverse problems …

Discrete Clifford algebras, discrete function theory, discrete potential theory, signal processing, discrete wavelet transforms, numerical methods for partial differential equations, dynamical systems, visualization …

Education, art, entertainment, interdisciplinary aspects, philosophical aspects, biographical studies, history of Grassmann algebra, history of quaternion algebra, reception and interpretation, psychology …

Quaternion Fourier transform, Clifford Fourier transform, windowed Clifford Fourier transform, spacetime Fourier transform, geometric Fourier transform, Hilbert transform, Riesz transform, Clifford square roots of -1, Clifford Fourier kernel, Cauchy kernel, Poisson kernel, operator exponential, translation operator, Clifford convolution, hypercomplex signal, hyperanalytic signal, 2D+t analytic video signals, multidimensional complex signal, monogenic signal, conformal monogenic signal, improper non-stationary complex-valued signals, quaternionic time-frequency representation, quaternionic spectral analysis, multivector wave packet analysis, orthogonal planes split, multiquaternion Clifford algebras, monogenic curvature scale-space, demodulation, color image processing, visualization of flow fields, analysis of flow fields, Clifford wavelets, diffusive wavelets …

Ternary analogue of Grassmann algebra, ternary analogue of Clifford algebra, generalized Dirac equation, ternary generalization of supersymmetry, calculus of cubic matrices …