A hundred years ago, matrix mechanics brought revolutionary progress to modern physics, leading the scientific community into deep exploration of the microscopic world. To celebrate this significant milestone, we plan to invite scholars and researchers from around the world to participate in the "100 Years of Matrix Mechanics" International Symposium in January 2025 at the Tsinghua Sanya International Mathematics Forum (TSIMF). This conference aims to gather the world's top scholars to discuss frontier research and applications based on matrix mechanics, covering multiple fields of mathematics, physics, and computer science.
The birth of matrix mechanics provided modern physics with new mathematical tools and methods, allowing us to understand the fundamental laws of nature more deeply. It not only provided new solutions to several problems in classical physics but also laid the foundation for various modern scientific research. Over the past century, the theories and methods of matrix mechanics have continuously developed, greatly advancing multiple fields such as information science, computational technology, and mathematics.
The conference topics include but are not limited to the following aspects:
• Mathematics and Matrix Algebra: Exploring new developments in matrix theory in modern mathematics and the importance of matrix algebra in various applications. Discussing the various properties, structures of matrices, and their relationships with other algebraic systems.
• Coding and Error Correction Theory: Researching information coding technology based on matrix methods, discussing the application of matrix methods in error correction theory, including exploring new error correction codes and optimizing existing coding schemes.
• Computational Technology: In-depth exploration of the application of matrix computation in large-scale parallel computing, especially the development of efficient algorithms and their importance in complex system simulations.
• Symmetry and Algebra: Discussing the application of matrix methods in symmetry research, exploring the discovery of new symmetric structures and their applications in physics.
• Tensor Categories and Topological Structures: Studying the broad applications of matrices and tensor categories in different scientific fields, including modeling of complex systems and topological structures in many-body models.
This symposium is not only a review of history but also a prospect for future development. We will arrange a series of special reports, academic discussions, and workshops to provide participants with a platform for in-depth exchange and cooperation. We look forward to the participation of scholars from around the world to share the latest research results and frontier ideas, promoting the further development of matrix mechanics in science and technology.