报 告 人：尤利华 教授
报告题目：Some results andproblems on nonnegative tensorsand hypergraphs
报告时间：2021年12月2日（周四）下午15:30
报告地点：腾讯会议（会议ID：728 485 105）
主办单位：数学与统计学院、科学技术研究院
报告人简介：
尤利华，女，同济大学博士，华南师范大学教授、博士生导师。主要从事组合矩阵论、图谱理论和张量谱理论等领域的研究，发表SCI收录论文50余篇。先后主持4项国家自然科学基金委项目、3项广东省自然科学基金委项目和1项广州市科信局基金项目，2011年入选广州市首批珠江科技新星。
报告摘要：
Since the work of Qi (2005) and Lim (2005), thestudy of tensors which regarded as thegeneralization of matrices,the spectra of tensors (and hypergraphs) and theirvarious applications has attracted much attention and interest.An order mdimension $n$ tensor $$\mathbb{A}= (a_{i_1i_2\ldots i_m})_{1\le i_j\le n\hskip.2cm (j=1, \ldots, m)}$$ over the complex field $\mathbb{C}$ is amultidimensional array with all entries $$a_{i_1i_2\ldots i_m}\in\mathbb{C},\hskip.3cm (i_1, \ldots, i_m\in [n]=\{1, \ldots, n\}).$$
A hypergrapha is a pair G=(V(G),E(G)), where V(G) is theset of vertices of G and E(G) is a family of non-empty subsets of V(G).In thistalk, we introduce some results andproblems on nonnegative tensors and hypergraphs, including theprimitive tensors,the sharp bounds for the spectral radius nonnegative tensors and hypergraphs, the majorization theorem of k-uniformsupertrees and so on.
邀 请 人：卢勇