26 Feb 20 Geometric Algebra
GAME2020 : Geometric Algebra Mini Event 2020.
What makes a new idea in mathematics an accepted one? When Hermann Minkowski introduced his famous metric in 1907, the idea was, backed by the success of Einstein's relativity theory, almost instantly accepted in the mathematical community.
Yet Hamilton's 1843 quaternions took decades, despite their now well-understood superiority for treating rotations. Even worse off was W.K. Clifford, whose work combining Grassmann's exterior algebra with arbitrary metrics, was all but forgotten soon after his early death.
Yet, starting with the work of Hestenes in 1966, Clifford's Geometric Algebra has gradually started to reveal its potential in an exceptionally wide range of applications. It offers a modern and coordinate-free approach that unifies and clarifies many concepts from vector spaces, differential geometry, exterior algebras, linear algebra, quaternions, spinors, and more. Its geometric nature makes it ideally suited for applications in physics, robotics, computer vision, graphics and everywhere an algebraic treatment of geometry is needed.
In a true "show, don't tell" mindset, the GAME2020 event has the top researchers and authors presenting the current state of the art of the field. Join us at the end of February, when the campus "The Level" in Kortrijk is transformed for three days into a true temple of Geometry. Find out what the impact of Geometric Algebra could be in your field, or join one of our workshops with researchers from Cambridge, University of Amsterdam, Paris, Darmstadt, and Tokyo.
On Wednesday 26/2, Steven De Keninck elaborates on his SIGGRAPH course and tackles the dual quaternions and the Geometric Algebra that naturally includes this most compact representation of the Euclidean isometries. In the afternoon, Dr. Dorst, author of the reference work "GA4CS", talks about the relationship with Linear Algebra, and how the lessons learned from Clifford can provide elegant solutions to problems that are intractable otherwise.
On Thursday, Hugo Hadfield and Eric Wieser from Cambridge university demonstrate the power of the Conformal Geometric Algebra for problems in robotics and kinematics. In the afternoon, Cambridge's Professor of astrophysics and cosmology, Anthony Lasenby, presents his view on GA as a new language for physics. Professor Lasenby is one of the authors of "GA 4 Physicists", and widely considered one of the pioneers of the field.
On Friday, Dr. Vincent Nozick (UPEM Paris) and Dr. Stephane Breuils (NII-JFLI Tokyo) discuss the impact a natural representation of geometric elements and transformations has on deep learning applications. In the afternoon, Dr. Charles Gunn closes the conference with an extension to his SIGGRAPH course, detailing the treatment of kinematics in curved spaces.
All of the talks in Kortrijk have a follow-up workshop providing the opportunity for detailed questions and discussion. Whether you are working in academia, engineering, computer science, artificial intelligence or even game development, this event is sure to cater to your needs. Don't miss out on this exceptional opportunity and come join us in Kortrijk this February! For more information on GAME2020, the talks and the workshops, visit https://bivector.net/game2020.html
For remaining questions, please turn to steven at enki dot ws.