Traditional Culture Encyclopedia - Traditional customs - What are the main research problems in mathematics at present?
What are the main research problems in mathematics at present?
1. Quantum Computing and Quantum Information: This is a very hot field in the field of mathematics at present, involving quantum algorithms, quantum error-correcting codes, quantum communication and other issues.
2. Topology: Topology is a branch of mathematics that studies the nature of space, involving many abstract concepts and skills. For example, given a closed n-dimensional manifold m, how to find its dimension and so on.
3. Geometric analysis: Geometric analysis is an interdisciplinary subject of differential geometry and real analysis, involving curve and surface theory, partial differential equations, boundary value problems and so on.
4. Dynamic system: Dynamic system theory studies systems that evolve with time, such as Naville-Stokes equation problem, variational theory and geometric analysis.
5. Stochastic systems and financial mathematics: This involves stochastic processes, stochastic calculus, stochastic matrices, and how to apply these tools to practical problems such as financial markets.
6. High-performance calculation method of mathematical physics: This is an interdisciplinary field, which involves how to use computer technology to solve complex mathematical physics problems.
7. Seven Millennium Problems: This is a series of unsolved mathematical problems, involving number theory, algebra, geometry and other fields. For example, researchers at the University of California, San Diego, have found the answer to the r (4, t) problem that has puzzled the mathematics community for decades.
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