The structure of the normalizers of maximal tori in groups of Lie type

Maximal tori play an important role both in linear algebraic groups and in finite groups of Lie type. In particular, they appear in the representation theory of groups of Lie type and occupy a central place in Kazhdan-Lusztig theory. They also arise in the study of various problems related to subgroup structure, since every semisimple element of a group of Lie type is always contained in some maximal torus.It is well known that the normalizer of a maximal torus is an extension of the maximal torus by the Weyl group. The problem of splitting the normalizer of a maximal torus was first formulated by Jacques Tits in 1966. In this talk, we will discuss the solution to this problem, as well as related problems concerning the structure of the normalizer of a maximal torus.

Fueter Theorems for Biaxial Dunkl Monogenic Functions

In this talk, Fueter theorems for biaxial Dunkl monogenic functions are discussed. First, the Fueter theorem is proved for the case involving a Dunkl monogenic polynomial factor. Subsequently, this result is extended to accommodate a general polynomial factor. Finally, by combining the Funk-Hecke formula, an alternative formulation of the Fueter theorem is presented.

第三届全国家政学学科建设与专业发展高峰论坛会议

论坛以构建中国特色家政学科为主题，深度分享我国家政学学科建设和专业发展的宝贵经验，共同探讨我国家政人才培养的新路径、新模式，以历史主动精神积极推动中国家政学自主知识体系和中国特色家政学理论的构建。

On intersecting families with covering number $3$

The covering number of a family $\mathcal{F}$ is the size of the smallest set that intersects every set in the family, denoted by $\tau(\mathcal{F})$.For $1 \leq p \leq k-2$, define\[\mathcal{B}_p = \{[2,k] \cup \{j\} : k+1 \leq j \leq k+p+1\} \cup \{[k+1, 2k]\},\]\[\mathcal{A}_p = \left\{ A \in \binom{[n]}{k} : 1 \in A, \text{ and } A \cap B \neq \emptyset \text{ for each } B \in \mathcal{B}_p \right\}\]and\[\mathcal{G}_p(n,k) = \mathcal{A}_p \cup \mathcal{B}_p.\]In this talk, we prove that for $n > 2k$ and $k \geq 4$, if $\mathcal{F}$ is a maximal intersecting family in $\binom{[n]}{k}$ with $\tau(\mathcal{F}) \geq 3$ and\[|\mathcal{F}| \geq |\mathcal{G}_2(n,k)|,\]then $\mathcal{F} \cong \mathcal{G}_1(n,k)$ or $\mathcal{F} \cong \mathcal{G}_2(n,k)$.This generalizes the results obtained by Kupavskii, Frankl and Wang, respectively.

The intersection of enumerative combinatorics with coding theory, mathematical biology, and number theory

I will present three instances of the intersection of Enumerative Combinatoricswith Coding Theory, Mathematical Biology, and Number Theory:1. Constrained Coding Bounds via Goulden–Jackson Cluster Theorem.2. Proof of a conjecture on tree-child networks proposed by Pons and Batle via Young tableaux with walls.3. Arithmetic of tangent numbers and binomial-secant numbers via combinatorial identities and the Kummer p-adic Theorem.

家政教育中的框架因素——对高质量教育的重要性及其组织方式的研究

本报告聚焦家政教育的框架性影响因素，系统分析家政教育是一门融合健康生活、家庭管理、理性消费及可持续发展理念的综合性实践学科，并从法律政策支撑、课程标准建设、学校管理机制、教学场地条件、硬件设备配置、食材经费保障及教师授课环境等多个维度，阐释了各类外部要素对家政教育教学全过程的协同作用机制。同时指出，健全的制度保障、充足的资源配置与科学的教学组织，是家政教育实现育人价值的关键，也是有效培育学生生活实践能力、责任担当意识与综合素养的重要途径。

A new result associated with Van Hamme's (H.2) supercongruence

In 2020, Mao and Pan proved a nice result associated with Van Hamme's (H.2) supercongruence. In the same year, Guo and Zudilin supplied a generalization of Mao and Pan's formula. With the help of the q-Dixon formula, the creative microscoping method, and the Chinese remainder theorem for coprime polynomials, we shall establish a q-supercongruence modulo the third power of a cyclotomic polynomial. When q→1, it produces the corresponding generalization of Guo and Zudilin's supercongruence in the $p\equiv3\pmod 4$ case.

数学科学学院人才招聘暨青年学者论坛

14:10-14:30 武超（伊利诺伊大学）EMHD的耗散波数，正则性与磨光14:40-15:00 蔡冬玲（电子科技大学）半变分不等式理论与应用研究15:10-15:30 李静圆（南京理工大学）斑块环境中SIQR 流行病模型的自适应隔离控制15:40-16:00 苗书静（华中师范大学）Smith Normal Form and the generalized spectral characterization of graphs16:10-16:20 休息16:20-16:40 王昕（山东大学）物理信息神经网络与算子学习在分数阶偏微分方程中的应用16:50-17:10 徐文君（河北农业大学）农业数据中的安全图像识别与智能分析

数学科学学院人才招聘暨青年学者论坛

分布式光纤传感应变测量范围增强技术

高性能分布式光纤传感技术凭借其超长距离连续分布测量、抗电磁干扰、耐腐蚀、兼容性好等优点，在深海、深地、基础设施、能源安全等领域有广泛应用前景。本次报告将围绕如何增强分布式光纤传感技术应变测量范围展开，介绍我们我们的三个工作，并对本团队的研究进展作简要概述。