The 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics

3 - 7 August, 2020    Hefei

August 2, 2020
T1   Test session August 2 15:00-17:00   Zoom Room2
15:00-17:00 Test session
T2   Test session August 2 20:00-22:00   Zoom Room2
20:00-22:00 Test session
August 3, 2020
OP   Opening ceremony August 3 16:30-17:00   Zoom Room1
16:30-17:00 Opening ceremony
Plenary 1   Plenary talk August 3 17:00-18:00   Zoom Room1
Chairman: Fabrizio Colombo
17:00 - 18:00 Spectral theory for Dirac operators with singular potentials   abstract
 
Birk1   Presentation and Chat with Birkhäuser August 3 18:00-18:45   Zoom Room1
Chairman: T. Hempfling
18:00-18:45 Presentation and Chat with Birkhäuser
P1   Clifford prize ceremony August 3 18:45-19:00   Zoom Room1
Chairman: G. Stacey Staples
18:45-19:00 Clifford prize ceremony
Plenary 2   Plenary talk August 3 19:00-20:00   Zoom Room1
Chairman: Paula Cerejeiras
19:00 - 20:00 Mathematical modelling in engineering: from abstraction to practice   abstract
 
MS1   Clifford Analysis August 3 20:00-22:00   Zoom Room2
Chairman: P. Cerejeiras
20:00 - 20:30 Break time
20:30 - 21:00 Fischer decomposition for spin 3/2 fields in dimension 4   abstract
 
21:00 - 21:30 A quaternionic analogue of Haviland's theorem   abstract
 
21:30 - 22:00 Recent results on fractional powers of vector operators and applications   abstract
 
MS3   Mathematical structures August 3 20:00-22:00   Zoom Room4
Chairman: Stacey Staples
20:00 - 20:30 Quaternions as a Hom-Hopf Algebra   abstract
 
20:30 - 21:00 Inverse Elements in Grassmann and Clifford Algebras   abstract
 
21:00 - 21:30 On determinant, other characteristic polynomial coefficients, and inverses in Clifford algebras   abstract
 
August 4, 2020
MS1   Clifford Analysis August 4 15:00-17:00   Zoom Room2
Chairman: H. de Bie
15:00 - 15:30 Generalisations of the discrete Weierstrass transform in discrete Clifford Analysis   abstract
 
15:30 - 16:00 Quaternionic analysis over the Heisenberg group   abstract
 
16:00 - 16:30 Domains of monogenicity in the quaternionic vector space   abstract
 
16:30 - 17:00 The bicomplex version of the Integral Cauchy Theorem for multi-connected sets   abstract
 
MS2   Several complex variables, global analysis, and manifolds August 4 15:00-17:00   Zoom Room3
Chairman: Fusheng Deng
15:00 - 15:30 IDA and Hankel operators on Fock Spaces   abstract
 
15:30 - 16:00 A proof of the Khavinson conjecture   abstract
 
16:00 - 16:30 Two Topics on Composition Operators   abstract
 
16:30 - 17:00 A second main theorem of Nevanlinna theory for closed subschemes in subgeneral position   abstract
 
MS3   Clifford Analysis meets image analysis August 4 15:00-17:00   Zoom Room4
Chairman: M. Reinhardt
15:00 - 15:30 Generalized Translations and Applications   abstract
 
15:30 - 16:00 The Segal-Bargmann Transform in Clifford Analysis   abstract
 
16:00 - 16:30 White Noise in Clifford Analysis   abstract
 
16:30 - 17:00 Polarimetry, Polarization-sensitive imaging and Clifford analysis   abstract
 
MS4   Applications of Hypercomplex Analysis / General August 4 15:00-17:00   Zoom Room5
Chairman: Qiuhui Chen
15:00 - 15:30 Quaternionic Left Eigenvalue Problem: A Matrix Representation Approach   abstract
 
15:30 - 16:00 Logic Quaternions - and the cultural meaning of orientation   abstract
 
16:00 - 16:30 Geometric algebras in geometric control theory   abstract
 
Plenary 3   Plenary talk August 4 17:00-18:00   Zoom Room1
Chairman: Jussi Behrndt
17:00 - 18:00 S-spectrum, quaternionic spectral theory and some applications   abstract
 
Birk2   Presentation and Chat with Birkhäuser August 4 18:00-19:00   Zoom Room1
Chairman: T. Hempfling
18:00-19:00 Presentation and Chat with Birkhäuser
Plenary 4   Plenary talk August 4 19:00-20:00   Zoom Room1
Chairman: Pierre-Philippe Dechant
19:00 - 20:00 Universes as Bigdata: Superstrings, Calabi-Yau Manifolds and Machine-Learning   abstract
 
MS1   Geometric Calculi and Deep Learning: a long-term relationship August 4 20:00-22:00   Zoom Room2
Chairman: Isiah Zaplana
20:00 - 20:30 Theoretical Resources for Deep Learning   abstract
 
20:30 - 21:00 Theoretical Resources for Deep Learning   abstract
 
21:00 - 21:30 Clifford neural networks: past, present and future.   abstract
 
21:30 - 22:00 Airborne Laser Scanning Registration and Conformal Geometric Algebra   abstract
 
22:00 - 22:30 Sparse coding of octonion valued signals: from theory to applications   abstract
 
MS2   Generalizations of Complex Analysis August 4 20:00-22:00   Zoom Room3
Chairman: I. Sabadini
20:00 - 20:30 Twistor complexes in symplectic spinor geometry   abstract
 
20:30 - 21:00 Interior and local regularity up to the boundary of the $\bar\partial$ operator in a Q-convex domain   abstract
 
21:00 - 21:30 On the Clifford short-time Fourier transform and its properties   abstract
 
MS3   Geometric Algebra Applications in Science and Engineering August 4 20:00-22:00   Zoom Room4
Chairman: Joan Lasenby
20:00 - 20:30 Joint Tracking for Motion Compensation in Non-Contact Respiratory Rate Monitoring   abstract
 
20:30 - 21:00 Foundations of the discrete differential geometric algebra   abstract
 
21:00 - 21:30 Cameras Viewing Cameras Geometry   abstract
 
21:30 - 22:00 Application of Geometric Algebra in non-sinusoidal single phase system having higher order harmonics   abstract
 
MS1   Clifford Algebra and fundamental forces of nature August 4 23:00-01:00   Zoom Room2
Chairman: P. Dechant
23:00 - 23:30 Real spinors and real Dirac equation   abstract
 
23:30 - 24:00 Operators and Field Equations in the Standard Model of Particle Physics   abstract
 
24:00 - 24:30 How Clifford's chirality allows to extend the concepts of connection and curvature and the quantum analysis of gauge anomalies to the case of a Lie-Kac SU(2/1) superalgebra describing leptons and quarks.   abstract
 
24:30 - 25:00 Group Geometric Algebras and the Standard Model   abstract
 
MS2   Generalizations of Complex Analysis August 4 23:00-01:00   Zoom Room3
Chairman: Uwe Kähler
23:00 - 23:30 Applications of Ternary Complex Analysis   abstract
 
23:30 - 24:00 An even Clifford Diamond   abstract
 
24:00 - 24:30 Fractional Elementary Bicomplex Functions in the Riemann-Liouville sense   abstract
 
24:30 - 25:00 Jordan algebras   abstract
 
MS3   Geometric Algebra Applications in Science and Engineering August 4 23:00-01:00   Zoom Room4
Chairman: Eduardo Bayro-Corrochano
23:00 - 23:30 Handling Vanish vector's Rotations in Quadric Geometric Algebra   abstract
 
23:30 - 24:00 Split Quaternion Neural Network for Color Image Processing   abstract
 
24:00 - 24:30 Formalizing Geometric Algebra in Lean   abstract
 
24:30 - 25:00 Conformal geometric algebra for forward and inverse kinematics for haptic based robot manipulation   abstract
 
25:00 - 25:30 Quaternion Quantum Neural Network for Classification   abstract
 
MS4   Mathematical structures August 4 23:00-01:00   Zoom Room5
Chairman: Rafal Ablamowicz
23:00 - 23:30 Zeon Matrix Algebra and the Zeon Combinatorial Laplacian   abstract
 
23:30 - 24:00 A new approach to the Clifford Algebras with the computation of its dimension   abstract
 
24:00 - 24:30 On generalised ternary Clifford algebras   abstract
 
August 5, 2020
MS1   Clifford Algebra and fundamental forces of nature August 5 19:00-21:00   Zoom Room2
Chairman: G. McClellan
19:00 - 19:30 Break time
19:30 - 20:00 Intrinsic General Relativity and Clifford   abstract
 
20:00 - 20:30 Quantized kinetic momentum from invariant wave equations   abstract
 
20:30 - 21:00 On the Complex Kinematics of Relativity   abstract
 
MS2   Clifford Analysis August 5 19:00-21:00   Zoom Room3
Chairman: W. Wang
19:00 - 19:30 Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace   abstract
 
19:30 - 20:00 General massless field equations for higher spin in dimension 4   abstract
 
20:00 - 20:30 Inversion formulas for Radon type transforms in the Clifford setting   abstract
 
20:30 - 21:00 Boundary value problems in Euclidean space for Bosonic Laplacians   abstract
 
MS3   Mathematical Physics August 5 19:00-21:00   Zoom Room4
Chairman: V. Kravchenko
19:00 - 19:30 A Clifford perspective on reflection groups, root systems and ADE correspondences   abstract
 
19:30 - 20:00 GROUP-ALGEBRAIC CHARACTERIZATION OF SPIN PARTICLES: SEMI-SIMPLICITY, SO(2N) STRUCTURE AND IWASAWA DECOMPOSITION   abstract
 
20:00 - 20:30 Clifford algebras in parastatistics   abstract
 
20:30 - 21:00 A Special Class of Axially Symmetric Generalizations of the Cauchy-Riemann System in $\mathbb R^3$ and the Elliptic Euler-Poisson-Darboux Equation in Cylindrical Coordinates   abstract
 
Plenary 5   Plenary talk August 5 21:00-22:00   Zoom Room1
Chairman: Rafal Ablamowicz
21:00 - 22:00 Generalizing Classical Clifford Algebras, Graded Clifford Algebras and their Associated Geometry   abstract
 
Plenary 6   Plenary talk August 5 22:00-23:00   Zoom Room1
Chairman: Hendrik de Bie
22:00 - 23:00 Heat Kernels for a Class of Degenerate Elliptic Operators   abstract
 
MS1   Clifford Algebra and fundamental forces of nature August 5 23:00-01:00   Zoom Room2
Chairman: G. McClellan
23:00 - 23:30 Clifford algebra representation in topological quantum statistical mechanics and topological quantum field theories   abstract
 
23:30 - 24:00 Research Opportunities in Group Geometric Algebra and the Standard Model   abstract
 
24:00 - 24:30 A visual description of (some) Lie algebras   abstract
 
24:30 - 24:40 Break time
MS2   Clifford Analysis August 5 23:00-01:00   Zoom Room3
Chairman: V. Soucek
23:00 - 23:30 Clifford Analysis with Indefinite Signature   abstract
 
23:30 - 24:00 Borel-Pompeiu and Plemelj-Sokhotzki integral formulas in Clifford type algebras   abstract
 
24:00 - 24:30 Generalized Cauchy- Riemann Operators and Integral Formulae in Complex Quaternions   abstract
 
24:30 - 25:00 Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean Space   abstract
 
MS3   Mathematical Physics August 5 23:00-01:00   Zoom Room4
Chairman: Y. Grigoriev
23:00 - 23:30 Biquaternionic representation of Maxwell's system for inhomogeneous media and some applications   abstract
 
23:30 - 24:00 On a right inverse operator for $\text{curl}+\lambda I$ over bounded and unbounded domains   abstract
 
24:00 - 24:30 Complete System of Beltrami Fields Using Complex Quaternion and Transmutation Theory   abstract
 
24:30 - 24:40 Break time
MS4   Applications of Clifford Algebras to Physics August 5 23:00-01:00   Zoom Room5
Chairman: I. Kanatchikov
23:00 - 23:30 Contact Quantization   abstract
 
23:30 - 24:00 Recursive Generation of Quantum Space-Times   abstract
 
24:00 - 24:30 Adinkras: graphs of Clifford algebra representations, supersymmetry, and codes   abstract
 
24:30 - 25:00 Two-State Quantum Systems Revisited: a Geometric Algebra Approach   abstract
 
August 6, 2020
MS1   Applications of Clifford Algebras to Physics August 6 15:00-17:00   Zoom Room2
Chairman: I. Kanatchikov
15:00 - 15:30 Clifford Algebras, Spinors, and $Cl(8,8)$ Unification   abstract
 
15:30 - 16:00 On the bundle of Clifford algebras over the space of quadratic forms   abstract
 
16:00 - 16:30 The Clifford algebra of $R^{n,n}$ and the Boolean SATisfiability Problem   abstract
 
16:30 - 17:00 A generalization of the Yang–Mills equations   abstract
 
MS2   Several complex variables, global analysis, and manifolds August 6 15:00-17:00   Zoom Room3
Chairman: Qingchun Ji
15:00 - 15:30 On strongly pseudoconvex complex Finsler metrics   abstract
 
15:30 - 16:00 The Roper-Suffridge extension operator and its applications to biholomorphic mappings   abstract
 
16:00 - 16:30 Commutators of Cauchy type integrals for strongly pseudoconvex domains with minimal smoothness   abstract
 
16:30 - 16:40 Break time
MS3   Clifford Analysis meets image analysis August 6 15:00-17:00   Zoom Room4
Chairman: J. Hogan
15:00 - 15:30 Clifford algebra applications in Geospatial Artificial intelligence and Remote Sensing Image Processing   abstract
 
15:30 - 16:00 A Robust Lane Detection Associated with Quaternion Hardy Filter   abstract
 
16:00 - 16:30 Image based Rock Classification with Riesz motivated Features   abstract
 
16:30 - 17:00 MATHEMATICAL STRUCTURAL RECOGNITION BY MEANS OF NEURONAL NETWORKS   abstract
 
Plenary 7   Plenary talk August 6 17:00-18:00   Zoom Room1
Chairman: Irene Sabadini
17:00 - 18:00 Some recent results in several complex variables and complex geometry   abstract
 
P1   Journal Presentation August 6 18:00-18:15   Zoom Room1
18:00-18:15 Advances in Applied Clifford Algebras
R. Ablamowicz
Plenary 8   Plenary talk August 6 19:00-20:00   Zoom Room1
Chairman: Vladimir Soucek
19:00 - 20:00 eta-invariant and localization   abstract
 
MS1   Applications of Clifford Algebras to Physics August 6 20:00-22:00   Zoom Room2
Chairman: I. Kanatchikov
20:00 - 20:30 A Clifford Bundle Approach to a Dirac-Hestenes Equation in the anti-de Sitter spacetime   abstract
 
20:30 - 21:00 Emergent spacetime Clifford Algebra from geometric quantization and a hypercomplex description of quantum fields   abstract
 
21:00 - 21:30 On the structure of $\operatorname{Cl}_{2,3}(\Bbb{R})$, its algebraic spinors and its relation to the spacetime Clifford algebra $\operatorname{Cl}_{1,3}(\Bbb{C})$   abstract
 
MS2   Clifford Analysis August 6 20:00-22:00   Zoom Room3
Chairman: M. E. Luna-Elizarraras
20:00 - 20:30 On the global operator and Fueter mapping theorem for slice polyanalytic functions   abstract
 
20:30 - 21:00 Local representation of slice regular functions over quaternionic slice domains   abstract
 
21:00 - 21:30 On Brolin's theorem over the quaternions.   abstract
 
21:30 - 22:00 ON COMPACT AFFINE QUATERNIONIC CURVES AND SURFACES   abstract
 
MS3   Fourier and other Integral Transformations with Clifford Algebras, Quaternions and Octonions IV August 6 20:00-22:00   Zoom Room4
Chairman: E. Hitzer
20:00 - 20:30 3-D generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain   abstract
 
20:30 - 21:00 Fractional Clifford-Fourier Transform and Its Application   abstract
 
21:00 - 21:30 On the Supports of Functions Associated to the Radially Deformed Fourier Transform   abstract
 
21:30 - 22:00 Note on the extended type Mittage-Leffler function   abstract
 
MS1   Applications of Clifford Algebras to Physics August 6 22:00-23:00   Zoom Room2
Chairman: I.Kanatchikov
22:00 - 22:30 Plücker's Relations, Geometric Algebra, and the Electromagnetic Field   abstract
 
MS2   Geometric Calculi and Deep Learning: a long-term relationship August 6 22:00-23:00   Zoom Room3
Chairman: S. Xambó-Descamps
22:00 - 22:30 Quaternion Local Phase Features in Deep Learning   abstract
 
22:30 - 23:00 Clifford valued Support Vector Machines   abstract
 
MS3   Fourier and other Integral Transformations with Clifford Algebras, Quaternions and Octonions IV August 6 22:00-23:00   Zoom Room4
Chairman: S. Sangwine
22:00 - 22:30 Quaternion Quantum Fourier Transform and Filtering for Image Processing   abstract
 
22:30 - 23:00 Conformal GA G_{3,1} and Quaternion Split Fourier Transform QSFT for Interpolation and Color Image Processing   abstract
 
August 7, 2020
MS1   Fourier and other Integral Transformations with Clifford Algebras, Quaternions and Octonions IV August 7 15:00-17:00   Zoom Room2
Chairman: E. Hitzer
15:00 - 15:30 Exponential Factorization of Multivectors in $Cl(p,q)$, $n = p + q = 3$   abstract
 
15:30 - 16:00 From square root of -1 to square roots of multivector (MV) in Clifford algebras n<=3   abstract
 
16:00 - 16:30 Uncertainty principle for the special relativistic Space-Time Fourier transformation   abstract
 
16:30 - 17:00 Uncertainty principle associated with the continuous Clifford wavelet Transform   abstract
 
MS2   Several complex variables, global analysis, and manifolds August 7 15:00-17:00   Zoom Room3
Chairman: Qingchun Ji
15:00 - 15:30 Non-standard holomorphic isometric embeddings of the Poincare disk into the Siegel upper half-plane   abstract
 
15:30 - 16:00 On the stability of embedding of CR manifolds   abstract
 
16:00 - 16:30 On some geometric and analytic properties of holomorphic vector bundles   abstract
 
MS3   Clifford Analysis August 7 15:00-17:00   Zoom Room4
Chairman: F. Colombo
15:00 - 15:30 Solutions for the Lévy-Leblond or parabolic Dirac equation   abstract
 
15:30 - 16:00 Szegö-Radon transform for hypermonogenic functions   abstract
 
16:00 - 16:30 Certain Bases of Polynomials Associated with Entire Functions in Clifford Analysis   abstract
 
16:30 - 17:00 The related problems on bihypergenic functions   abstract
 
Plenary 9   Plenary talk August 7 17:00-18:00   Zoom Room1
Chairman: Swanhild Bernstein
17:00 - 18:00 Sparse Approximation to the Dirac-δ Distribution   abstract
 
Plenary 10   Plenary talk August 7 19:00-20:00   Zoom Room1
Chairman: Uwe Kähler
19:00 - 20:00 Script Geometry   abstract
 
MS1   Fourier and other Integral Transformations with Clifford Algebras, Quaternions and Octonions IV August 7 20:00-22:00   Zoom Room2
Chairman: S. Sangwine
20:00 - 20:30 Processing chromatic information in histological data   abstract
 
20:30 - 21:00 Some properties of right-sided quaternion windowed linear canonical transform and its uncertainty principle   abstract
 
21:00 - 21:30 One-dimentional Quaternionic Special Affine Fourier Transform   abstract
 
21:30 - 22:00 Weighted quaternionic Cauchy singular integral   abstract
 
MS2   Mathematical structures August 7 20:00-22:00   Zoom Room3
Chairman: Rafal Ablamowicz
20:00 - 20:30 On Pauli`s theorem in Clifford algebra   abstract
 
20:30 - 21:00 An Algorithm for Construction of Non-degenerate Clifford Algebra Matrix Representations in Computer Algebra Systems   abstract
 
21:00 - 21:30 On Ternary Clifford Algebras On Two Generators Defined by Extra-Special $3$-Groups of Order~$27$   abstract
 
MS3   Applications of Hypercomplex Analysis / General August 7 20:00-22:00   Zoom Room4
20:00 - 20:30 Hybrid-Hyperbolic Numbers   abstract
 
20:30 - 21:00 Fibonacci Elliptic Biquaternions   abstract