International Symposium on Applications of Singularities and AI

Computational and Mathematical Bioinformatics and Biophysics

Symposium on Mathematical Engineering

Multivariable Operator Theory – A Hilbert Module Approach

当希尔伯特模的星空图景遇见多变量算子的精微结构，两个深邃的数学世界在此对话，这是数论与泛函分析的交汇处，也是对称与空间共同谱写的篇章，我们邀请您，在十二月的三亚，一同聆听这场关于数学统一的深刻对谈。

Algebraic geometry and integrable systems

当严谨的数学思维遇见温暖的三亚海风，一场连接代数几何与可积系统两大数学支柱的高端研讨会即将启幕，我们期待这不仅是一场勾勒领域未来的学术对谈，更是一次为全球青年学者敞开的与世界级专家深度交流的宝贵窗口。

Higher Painlevé equations and Garnier systems

Discrete and continuous Painlevé equations have attracted a lot of attention in recent decades, since they define (new) transcendental functions, and exhibit rich mathematical structures, in algebraic geometry, representation theory and asymptotic analysis. The higher analogues of the Painlevé equations, including the isomonodromic Garnier systems have an even richer structure, involving connections with multivariate special functions, including higher-genus Abelian functions, and multiple orthogonal polynomials and an expected higher-dimensional variant of the underlying algebraic geometry that was established for the usual Painlevé equations. The connections with integrable systems, via higher-order similarity reduction, may form a key to a further understanding of these more complicated systems, but so far the study of Garnier and higher Painlevé systems has been lagging behind.

Tsinghua-Tokyo Workshop on PDEs and Probability

This workshop is the second edition of the Tsinghua-Tokyo Workshop, which was started in 2024 to promote cooperation between China and Japan. The topics cover various types of partial differential equations, especially those related to mathematical physics, such as Navier-Stokes equation, nonlinear Schrödinger equation, dispersive equations, reaction-diffusion equations, nonlinear elliptic equations on the PDE side and stochastic partial differential equations, random media, statistical mechanics-type models on the Probability side. These are important topics which attract a lot of attention internationally and show a rapid progress.

Workshop on Geometric topology and their related topics

The conference, themed "Geometric Topology and Related Topics," aims to promote frontier research in the field of geometric topology and interdisciplinary communication in general geometry and topology. As a vibrant and significant area of mathematical research, geometric topology deals with the complex structures and properties of multi-dimensional spaces, spanning a wide range of topics from low-dimensional to high-dimensional topology. This workshop provides a platform for researchers and students to come together, discuss the latest developments in geometric topology, share research findings, and foster academic collaboration.

The 1st International Conference on Data Analytics and Topology

Data analysis has a wide range of applications in science and engineering. Topological computational analysis has become an important analytical tool. As an emerging branch of algebraic topology, persistent homology integrates certain geometric features into topological invariants, thereby bridging the gap between traditional topology and geometry. Computational topology, particularly topological deep learning, holds the promise of providing potentially revolutionary approaches to scientific research.

Advances in Quantum Algebra

Quantum algebra has become an important direction in mathematical research in recent years. It is a natural combination and extension of theories such as representation theory, Hopf algebra theory, tensor category theory, and Lie theory. It has also gained widespread attention due to its profound connections with low-dimensional topology, rational conformal field theory, and topological field theory. In recent years, the field of quantum algebra has developed rapidly, with a series of outstanding works and progress emerging.