International Conference of Advanced Computational Applications of Geometric Algebra

ICACGA is an international conference focused on advanced computational applications of Geometric Algebra (GA) and related hypercomplex algebras such as quaternions and octonions. The reasons for investigating hypercomplex algebras for enabling advanced computational applications and, more specifically, data-centric applications range from theoretical aspects such as the unification of many mathematical systems into one easy-to-understand mathematical framework with an intuitive exploration of geometric objects and geometric operations to computational advantages such as direct integration of GA with standard programming languages, compactness and robustness of algorithms, implicit use of parallelism, and high runtime performance.

GA is equipped with the geometric product, an efficient and complete solution for multiplying vectors in arbitrary dimensions. GA can carry operations with multivectors as well as in any of its subspaces (scalars, vectors, bivectors, pseudoscalars, etc.), which allows one to efficiently represent and solve problems that involve complex numbers, vectors, matrices, lattices, and other algebraic structures, all in one compact mathematical framework.

In recent years, it has been demonstrated that GA can naturally serve for constructing solutions for pattern recognition, machine learning, data compression, games, robotics, quantum computing, data encoding, to cite a few. Moreover, there is ample evidence that further research on GA and related areas can significantly expand the number of real-world applications in a wide variety of areas.

For the above reasons, ICACGA is committed to encourage, select, recognize and award the most prominent research results associated with GA applied to some form of data-centric solution.

ICACGA is working with key industry players in the fields of design graphics, chip design, semiconductors, parallel and quantum computing to create a bridge between industry and academia as a strong partnership with the goal of channeling forefront academic results into real-world stages.