🌟 Representation of Finite & Compact Group Seminar
Seminar, USTC, No.5 Teaching Building, 5207, 2025
Under the guidance of Prof. Shucheng YU at USTC, a seminar on representation of finite groups and compact groups is organized.
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🌟 Nonlinear PDEs Summer Research
Summer Research, Institude of Mathematical Science, Chinese University of Hong Kong, 2025
I will visit Institude of Mathematical Science, Chinese University of Hong Kong and perform a 2-month short-term research on nonlinear PDEs under the guidance of Prof. Zhouping XIN and Prof. Renjun DUAN during 2025 summer vacation.
talks
🌟 Mathematical Analysis Lecture
Published:
As the final exams are approaching, in order to help students review and prepare for the exams, the Department of Mathematical Sciences organized a guidance lecture in classroom 2121 on December 22, 2024, at USTC. The event was hosted by the Youth League Committee of the Department and organized by the Student Union of the Department.
🌟 Smooth Manifolds Seminar — Topological Manifolds Revision
Published:
The undergraduates at Hua Loo-Keng Talent Program in Mathematics organized a seminar on smooth manifolds after learning topology and basic differential geometry during 2025 winter vacation. I gave 2 lectures in this seminar and the following is the first lecture on topological manifolds.
🌟 Smooth Manifolds Seminar — Tangent Spaces of Manifolds
Published:
The undergraduates at Hua Loo-Keng Talent Program in Mathematics organized a seminar on smooth manifolds after learning topology and basic differential geometry during 2025 winter vacation. I gave 2 lectures in this seminar and the following is the second lecture on tangent spaces of smooth manifolds.
🌟 Representation of Finite & Compact Group Seminar
Published:
Under the guidance of Prof. Shucheng YU at USTC, a seminar on representation of finite groups and compact groups is organized. The frist lecture mainly covered the definition of k-linear representations of finite group G, permutation representation and regular representation, the correspondence of finite-dimensional k[G]-modules and k-linear representations of G, Maschke’s theorem and the definition of irreducible representations.