On behalf of the session organizers: An invitation to present at AGACSE 2026 in Beijing

Researchers are invited to participate in the special session 'Mathematical Explorations of Geometric Algebras' during the 10th AGACSE 2026 Conference (Applied Geometric Algebras in Computer Science and Engineering).

• Date & Venue: August 24–28, 2026, Beijing, China (in-person only)
• Registration: No registration fee.
• Abstract Submission: Please submit your abstract (~200 words) directly to the session organizers (see contacts below).
• First Submission Deadline: February 1, 2026. Submissions by this date are necessary to be considered for 50% accommodation support at the conference hotels.
• Second Submission Deadline: May 1, 2026.
• Website: http://www.mmrc.iss.ac.cn/agacse2026/

Session Description:
Geometric Algebra is closely related to matrix algebra in that every real Clifford algebra is isomorphic to a matrix algebra over the reals, complex numbers, or quaternions according to Cartan-Bott periodicity. On the other hand, Geometric Algebra is usually represented in a matrix-independent way, no matter if in the basis form of the associated Grassmann space, or in a basis-free form. This proposes the long-lasting problems of converting algebraic manipulations done in the matrix form to the matrix-free form of Geometric Algebras, a typical one of which is finding a versor generator of an orthogonal transformation in any non-degenerate Geometric Algebra.

This session intends to bring to the audience new advances in or related to the following topics on Geometric Algebra:

• Matrix-free algebraic manipulations in Geometric Algebra
• The characteristic polynomial problem in Geometric Algebra
• Elementary and transcendental functions defined on Geometric Algebra
• Versor representation and computation in Geometric Algebra
• Univariate versor polynomial factorization in Geometric Algebra
• The Cartan-Dieudonné Theorem and its extensions
• Grassmann algebra
• Clifford modules
• Quaternionic algebras, Octonions, Okubo algebra, and other hypercomplex algebras
• Quaternionic equation solving and quaternionic matrix theory
• Ternary Clifford algebras and Generalized Clifford algebras

Session Organizers:

• Prof. Hongbo Li, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China. hli@mmrc.iss.ac.cn
• Prof. Dmitry Shirokov, HSE University, Russia. dm.shirokov2021@gmail.com
• Prof. Pierre-Philippe Dechant, University of Leeds, UK. ppd22@cantab.net

Please feel free to share this email with your colleagues and students who might be interested.

We look forward to receiving your contributions and to welcoming you at AGACSE 2026 in Beijing!