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20
2026/07
GPNMB调控Tau病理的机制及在阿尔茨海默病中的作用
GPNMB调控Tau病理的机制及在阿尔茨海默病中的作用
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20
2026/07
神经铁死亡与脑疾病
神经铁死亡与脑疾病
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20
2026/07
基于5R精准氧化还原医药的挑战和未来方向
基于5R精准氧化还原医药的挑战和未来方向
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23
2026/07
拓扑及其工业应用论坛
7月22日 报到7月23日9:00-9:10 开幕式9:10-10:00 Andrey Vesnin，俄罗斯新西伯利亚索博列夫数学研究所Spatial graphs, their invariants and applications10:20-11:10 刘乐茂，复旦大学关于大模型流体智能的初步研究15:00-15:50 刘冉，BIMSAIntComplex for high-order interactions16:10-17:00王小茜，BIMSANNMT+CAFs 通过代谢拓扑演进驱动胃癌免疫治疗耐药研究7月24日9:00-9:50 蔺宏伟，浙江大学基于计算拓扑的拓扑理解与拓扑控制10:10-11:00 岳云光，石河子大学Calibrated Persistent-Laplacian CUSUM for Online Change-Point Detection15:00-15:50 宋汝志，天津商业大学Multi-scale Jones polynomial and persistent Jones polynomial for knot data analysis16:10-17:00姚健，BIMSAEvaluating Flow-Topological Structural Descriptors for Cryptocurrency Anti-Money Laundering7月25日9:00-9:50 刘兴武，大连理工大学TBA10:05-10:55陈良彪，河套数学与交叉学科研究院 (深圳)负曲率薄壳的非线性刚度估计与Γ-极限11:10-12:00 任世全，河南大学Homological obstructions for regular embeddings of graphs15:00-17:00 “新背景下 AI 对于数学研究范式之影响—以 Chatgpt 为例”专题讨论7月26日9:00-9:50 张志国，山西师范大学Strong homotopy fundamental group and graph presentation of group10:10-11:00 阮洋洋，河套数学与交叉学科研究院 (深圳)Cubical setting for directed discrete homotopy theory15:00-15:50自云鹏，山东大学The Sheaf Theory and the Hodge-de Rham Spectral Sequence on Path Complexes16:10-17:00张鹤群，BIMSAGröbner Basis and its applications in GLMY theory7月27日 离会
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19
2026/07
On the second lowest two-sided cell of an affine Weyl group
Let G be a connected reductive group and e be a nilpotent element in the Lie algebra of G. Let F_e be a maximal reductive subgroup of the centralizer of e in G. Let W be the extended affine Weyl group associated to G, and c the two-sided cell of W corresponding to e. Lusztig conjectured that the based ring J_c of c should be isomorphic to a F_e-equivarant K-group on the square of a finite set Y_e (G simply-connected). Bezrukavnikov and Ostrik proved a weaker form of this conjecture in 2004, by introducing an additional centrally extended structure. We prove that when e lies in the minimal nilpotent orbit, this centrally extended structure is trivial, and hence Lusztig’s conjecure holds for the second lowest cell. As a corollary, we confirm a conjecture posed by Jianyi Shi in 2011 that the the number of left cell in the second lowest two-sided cell is half cardinality of the finite Weyl group. This is joint work with Qianfan Zhou.
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19
2026/07
Structure constants of Peterson Schubert calculus
The Peterson variety is a remarkable subvariety of the flag variety, introduced by Dale Peterson to realize the quantum cohomology rings of all (Langlands dual) partial flag varieties geometrically. Harada and Tymoczko posed the open problem (in type A) of finding a positive formula for the structure constants of the cohomology ring of the Peterson variety. We give an explicit, positive, and type-uniform formula for all equivariant structure constants of the Peterson Schubert calculus in arbitrary Lie types, using only the Cartan matrix of the corresponding root system Φ. As an application, we derive a type-uniform formula for the mixed Φ-Eulerian numbers.
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18
2026/07
An efficient minimization method for nonsmooth and nonconvex unconstrained optimization problems
In this paper, we focus on developing an efficient method for solving nonsmooth unconstrained optimization problems arising from mathematical models, in particular those derived from differential equations with singular nonlinearities. Due to the nonsmoothness of the objective function, we construct a sequence of iteratively updated quadratic models to approximate the nonsmooth objective function. The unique solvability and key properties of these quadratic models are thoroughly discussed and rigorously proved. A classical trust-region method is then employed to minimize these quadratic models within the trust region, yielding an effective minimization method. Furthermore, a convergence analysis of the minimization method is also established. To address the challenges posed by the nonconvexity of the nonsmooth objective function, we first introduce an auxiliary function approach designed to escape from computed local minima until a global minimizer is found. Since differential equations with singular nonlinearities admit multiple solutions, the minimization method is further extended to compute multiple solutions by incorporating a deflation technique. In this extended framework, a generalization of the deflation function is developed. Numerical experiments are provided to demonstrate the efficiency and robustness of the proposed algorithms. Furthermore, based on our algorithms, several previously unreported multiple solutions are computed and presented here for the first time. In summary, this study not only opens a new and efficient avenue for solving differential equations with singular nonlinearities from a numerical optimization perspective, but also contributes significantly to the exploration of more complex real-world problems.
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21
2026/07
养分特征对森林碳循环的影响-基于观测、理论和模型分析
养分特征对森林碳循环的影响-基于观测、理论和模型分析
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16
2026/07
启心讲坛第25讲：记忆如何塑造认知与行为 ——香港大学心理学系访学学习汇报
基于在香港大学心理学系社会与认知神经科学实验室的访学研修经历，分享在此期间的观察和思考。
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16
2026/07
启心讲坛第24讲：交叉视野下的语言认知研究：香港中文大学访学收获与经验交流
结合赴香港中文大学语言学及现代语言系语言加工实验室的访学经历，分享认知心理学与计算语言学交叉视野下的语言认知研究实践感悟。
