International School for Students and Young Scientists 'Quaternions, Geometric Algebras, and Applications' dedicated to the 70th anniversary of Nikolay G. Marchuk

International School for Students and Young Scientists 'Quaternions, Geometric Algebras, and Applications' is organized by the Laboratory for Geometric Algebra and Applications (HSE University, Moscow) in collaboration with the international research laboratory 'Multiscale Mathematical Modeling and Computer Calculations' (North-Eastern Federal University, Yakutsk) as part of the project Mirror Laboratories: 'Quaternions, Geometric Algebras, and Applications'.

Topics of School:

Quaternions, split-quaternions, biquaternions, commutative quaternions, octonions, hypercomplex numbers;
Geometric algebras, Clifford and Grassmann algebras, generalized Clifford algebras;
Spin groups and other Lie groups within the Clifford algebra formalism;
Spinors and the Dirac equation in field theory and physics;
Applications of geometric algebras in geographic information systems (GIS);
Applications of geometric algebras in neural networks;
Applications of geometric algebras and quaternions in image processing;
Other applications in computer science, engineering, and physics.

The School's program will include lectures and presentations designed to help participants master the theoretical foundations and modern approaches to applying the theory. The schedule includes 4-5 hours of lectures and talks daily, held in the morning Moscow Time (MSK) for the convenience of attendees from the eastern regions of Russia and Asian countries (China, Japan, India).

Participants are welcome to present their own scientific reports on the School's topics. Applications, including the title and a short abstract, are to be submitted during registration.

The School is intended for students, graduate students, and young scientists interested in mathematics, physics, computer science, and related fields. No prior deep knowledge of quaternions and geometric algebra is required, as all necessary concepts will be introduced during the sessions. A background in linear algebra at the level of a standard university curriculum is sufficient.

E-mail:
Website: https://economics.hse.ru/en/gaaschool2025