Applied Geometric Algebras in Computer Science and Engineering 2024

AGACSE 2024

Programme August 27-29, 2024

The conference consisted of three days of single sessions, on subjects related to the conference topics.

	Tuesday 27		Wednesday 28		Thursday 29
08:30	Registration + coffee
09:00	Computing	08:45	Vision & Robotics	08:45	Mathematical Aspects 2
11:00	Coffee	10:45	Coffee	10:45	Coffee
11:15	STA Physics	11:15	Control & GIS	11:15	Electro-Magnetism
13:15	Lunch	13:15	Lunch	13:15	Lunch
14:15	Machine Learning 1	14:15	Machine Learning 2	14:15	Visualization/Education
15:45	Tea	15:45	Tea	15:45	Tea
16:15	Mathematical Aspects 1	16:15	Pitches, Posters/Demos	16:15	Computational Geometry
18:45	Reception/Boat Tour	19:15	Conference Dinner	18:15	Awards, Next venue

There were regular talks during the day, and a Wednesday afternoon session of posters and demonstrations.

The social programme included a canal boat ride with welcome drinks on the Tuesday evening, and a conference dinner on Wednesday (optional, at additional charge, and only if pre-reserved by August 1).

At the closing session on Thursday , The David Hestenes Promising Young Researcher Award was handed out, as well as the Waldyr R. Rodrigues Jr. Best Poster prize, and we announced the venue for the next AGACSE.

Schedule per Session

• Click on SPEAKER for a summary.txt.
  
• Click on TITLE for the 4-page abstract.pdf.

Tuesday August 27, 2024, 08:30
COMPUTING (Chair Hongbo Li)

09:00-09:30	Chris Doran Cambridge University		Multi-algebra Fluency (slides)
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09:30-10:00	Martin Roelfs Flanders Make, University of Antwerp		The Willing Kingdon Clifford Algebra Library (slides)
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10:00-10:30	Silvia Franchini National Research Council of Italy		A FPGA Coprocessor for Accelerating Geometric Algebra Algorithms based on the GAPPCO Design (slides)
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10:30-11:00	Steven De Keninck University of Amsterdam		Look, Ma, No Matrices! (slides)

Tuesday August 27, 2024, 11:15
STA PHYSICS (Chair Leo Dorst)

11:15-11:45	Anthony Lasenby University of Cambridge		Spacetime Algebra and Octonions: Links with the groups used in particle physics and computer graphics (slides)
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11:45-12:15	Greg Wilmot University of Adelaide		Construction of Exceptional Lie Algebra G2 and Non-Associative Algebras using Clifford Algebra (slides)
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12:15-12:45	Sofia Rumyantseva HSE University		On multidimensional Dirac-Hestenes equation (slides)
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12:45-13:15	James Chappell University of Adelaide		A Multivector Description of Spacetime (slides)

Tuesday August 27, 2024, 14:15
MACHINE LEARNING 1 (Chair Chris Doran)

14:15-14:45	David Ruhe University of Amsterdam		From Clifford Neural Layers to Clifford Group Equivariant Networks (slides)
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14:45-15:15	Yuxin Yao University of Cambridge		Simplifying and Generalising Equivariant Geometric Algebra Networks (slides) (ppt slides)
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14:45-15:15	Eduardo Bayro-Corrochano Politechnical University of Posnan, Poland		Coordinates to Color Quaternion Neural Network (CoCoQNN) and Coordinates to Color Quaternion Convolutional Neural Network (CoCoQCNN) for Image Processing (slides)

Tuesday August 27, 2024, 16:15
MATHEMATICAL ASPECTS 1 (Chair Petr Vašík)

16:15-16:45	Pierre-Philippe Dechant University of Leeds		Characteristic multivectors of Coxeter transformations give novel insights into the geometry of root systems (slides)
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16:45-17:15	Dmitry Shirokov HSE University		On Rank of Multivectors in Geometric Algebras (slides)
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17:15-17:45	Hongbo Li Chinese Academy of Sciences		From Null Monomials to Versors in Conformal Geometry (slides)
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17:45-18:15	Timothy Havel Massachusetts Institute of Technology		The Zeros of Heron's Formula in Orthocentric Tetrahedra (handout) (slides)

Tuesday August 27, 2024, 18:45
CANAL BOAT TOUR AND DRINKS RECEPTION

18:45		We went on a 1-hour canal boat tour, with drinks and snacks. The route is shown on the Venue page. We assembled in front of the conference venue to walk 5-10 minutes to the boarding site. Dinner afterwards was not arranged, and left to the participants.

Wednesday August 28, 2024, 08:45
VISION & ROBOTICS (Chair Eduardo Bayro-Corrochano)

08:45-09:15	Isiah Zaplana Universitat Politècnia de Catalunya, Spain		Closed-form inverse kinematics solutions for a class of serial robots without spherical wrist using conformal geometric algebra (slides)
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09:15-09:45	Oliver Rettig DHBW-Karlsruhe, Germany		Towards an Integrated Development tool for GA and a symbolic CGA implementation based on CasADi for application in robotics. (slides)
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09:45-10:15	Charalampos Matsantonis University of Cambridge		A Novel Line Alignment Algorithm using Geometric Algebra (slides)
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10:15-10:45	Roman Byrtus Brno University of Technology		CGA-Based Snake Robot Control Models (slides)

Wednesday August 28, 2024, 11:15
CONTROL & GIS (Chair Eckhard Hitzer)

11:15-11:45	Anna Derevianko Brno University of Technology		On Control of 2D Switched Systems by Means of Geometric Algebra for Conics (slides)
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11:45-12:15	Jorge Ventura Universidad de Almeria		Applications of Geometric Algebra in Surveying and Geodesy (slides) (ppt slides)
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12:15-12:45	Jaroslav Hrdina Brno University of Technology		Notes on geometric algebras in geometric control theory (sub-Riemannian geometry) (slides)
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12:45-13:15	Johanka Brdečková Brno University of Technology		Transformation in four phase power system using CGA (slides)

Wednesday August 28, 2024, 14:15
MACHINE LEARNING 2 (Chair Salvatore Vitabile)

14:15-14:45	Maksim Zhdanov University of Amsterdam		Clifford-Steerable Convolutional Neural Networks (slides) (ppt slides)
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14:45-15:15	Alberto Pepe U of Cambridge, TU Brandenburg		STAResNet: A Network in Spacetime Algebra Network to Solve 3D Maxwell's PDEs (slides)
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15:15-15:45	Cong Liu AI4Science Lab, AMLab, University of Amsterdam		Clifford Group Equivariant Simplicial Message Passing Networks (slides)

Wednesday August 28, 2024, 16:15
PITCHES, POSTERS & ONLINE GUEST TALK (Chair Anthony Lasenby)

16:15-16:40	2-MINUTE PITCHES		Plenary room
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16:40-17:30	POSTER SESSION		Room next door
	Jens Andresen Independent Scientist, Køge, Denmark		Local Space Structure by Geometric Algebra Using the Hurwitz Unit Quaternions (pitch) (poster)
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	Peter Brands Lumina Innovation		Bridge between hyperbolic and circular symmetry illuminates spacetime spinors (pitch) (handout)
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	Steven De Keninck University of Amsterdam		Look, Ma, No Trigonometry! (demo)
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	Leo Dorst University of Amsterdam		Paraxial Geometric Optics in 3D through Point-based Geometric Algebra (pitch) (poster)
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	Simon Hartel Hochschule Landshut		A Unifying “Anycentric” Pinhole Camera Model for Calibrating Ento-, Tele- and Hypercentric Lenses (ppt pitch) (poster) (handout)
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	Zachary Leger University of Waterloo		A modern Tool for Teaching Projective Geometric Algebra (pitch) (poster)
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	Alberto Pepe U of Cambridge, Huawei Munich Research Center		DPGNN: Differentiable Physics- and Geometry-Assisted Neural Network (no pitch)
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	Heerak Sharma Indian Institute of Science Education and Research, Pune, India		Inverse of a Multivector (pitch) (poster)
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	Hamish Todd University of Cambridge		Snappets: A VR user interface for animation with bendable vectors (pitch link)
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	Greg Wilmot University of Adelaide		The Algebra of Geometry (pitch)
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17:30-18:30	ONLINE GUEST TALK		Plenary room, online presentation
	David Hestenes Arizona State University		Gyromagnetics of the Electron Clock (slides)

Wednesday August 28, 2024, 19:15
CONFERENCE DINNER

19:15		For those who pre-registered and paid for the conference dinner (by August 1), it was at: Kantjil en de Tijger, Spuistraat 291-293, Amsterdam. This is a 2-minute-walk from the conference venue.

Thursday August 29, 2024, 08:45
MATHEMATICAL ASPECTS 2 (Chair Pierre Dechant)

08:45-09:15	Leo Dorst University of Amsterdam		Dual Spaces are Real: Orientation Types in Geometric Algebras (slides)
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09:15-09:45	Ekaterina Filimoshina HSE University		On Generalized Degenerate Lipschitz and Spin Groups (slides)
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09:45-10:15	Daren Thimm University of Innsbruck, Austria		Factorizations of the Conformal Villarceau Motion (slides)
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10:15-10:45	Petr Vašík Brno University of Technology		Hamiltonian mechanics in terms of geometric algebras (slides)

Thursday August 29, 2024, 11:15
ELECTRO-MAGNETISM (Chair Joan Lasenby)

11:15-11:45	Chris Doran Cambridge University		Projective and Conformal Formulations of Electromagnetism (slides)
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11:45-12:15	Lucas Burns Chapman University		Representation and Gauge Freedom in Electromagnetism and Acoustics (slides)
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12:15-12:45	Gene McClellan Applied Research Associates, Inc.		Flux Quantization in Type II Superconductors (slides)
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12:45-13:15	Kristján Óttar Klausen University of Iceland		Symmetries of the boundary theorem in electrodynamics (slides)

Thursday August 29, 2024, 14:15
VISUALIZATION & EDUCATION (Chair Vincent Nozick)

14:15-14:45	Stephen Mann University of Waterlo, Canada		A Virtual Reality System for Visualizing Geometric Algebras (slides)
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14:45-15:15	Duane Storti University of Washington-Seattle		Bringing Engineers to Geometric Algebra (and vice versa) (slides) (ppt slides)
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15:15-15:45	Hamish Todd University of Cambridge		A Comprehensive Visualization of Versors of Conformal Geometric Algebra (CGA video)

Thursday August 29, 2024, 16:15
COMPUTATIONAL GEOMETRY (Chair Dietmar Hildenbrand)

16:15-16:45	Pavel Loučka Brno University of Technology		Construction of Special Conics in Bundles of Conics Using Geometric Algebras (slides)
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16:45-17:15	Clément Chomicki Université Gustave Eiffel, CNRS		Pencils and set operators in 3D CGA (slides)
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17:15-17:45	Eckhard Hitzer International Christian University, Tokyo, Japan		Geometric Algebra and symmetry in crystallography and physics (slides)
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17:45-18:15	Carlile Lavor University of Campinas Brazil		Computing interatomic distances using Euclidean, Homogeneous, and Conformal Models (online presentation) (slides)

Thursday August 29, 2024, 18:15
PRIZES AND NEXT VENUE

 

18:15-18:45		(closing slides)   The David Hestenes Promising Young Researcher Award was awarded to two new talents: • Jorge Ventura for his presentation "Applications of Geometric Algebra in Surveying and Geometry" • Daren Thimm for his presentation "Factorization of the Conformal Villarceau Motion".   The Waldyr R. Rodrigues Jr. Best Poster prize was awarded to: • Heerak Sharma for his poster "Inverse of a Multivector".
		Next Venue: ACACSE 2026 will be in Beijing, Chine at the begining or end of Summer. Hongbo Li will set up the organization. (We are thus leaving the 3-year schedule alternating with ICCA, but will not overlap with ICCA 2026 in time.)