应用数学青年讨论班(午餐会)—— New trends for p-Laplacian eigenproblems on graphs
报告人:张栋(365bet体育官网)
时间:2023-11-22 11:45-13:30
地点:智华楼四元厅
摘要:The spectrum of the graph p-Laplacian is closely related to many combinatorial properties of the graph itself; and its eigenpairs, reveal important information about the topology and geometry of the graph. In particular, when p is equal to 1 and infinity, the p-Laplacian eigenvalues approximate the multi-way Cheeger constants and the packing radii of the graph, respectively. However, the eigenvalue problem for graph p-Laplacians is a challenging topic both theoretically and computationally. In this talk, I will present some new ingredients for studying the graph p-Laplacian eigenproblem. These include homological eigenvalues, spectral duality, and tools from signed graphs.
报告人简介:张栋是365bet体育官网助理教授,之前在马普数学科学所从事博士后研究。他的研究兴趣是离散非线性分析,包括(非线性)谱图理论、组合临界点理论和离散-连续扩展方法。
报名问卷:我们提供午餐(报告时间12:30-13:30,午餐从11:45开始提供),需要预定午餐的老师同学请填报名问卷 https://wj.qq.com/s2/13563323/bz3o/