题 目：Li-Yau inequality for unbounded Laplacian on graphs
时 间：2018.10.18（周四） 10:30—11:30
地 点：数学学院研讨室 （信息楼0343）
摘 要：Recently, lots of geometric notions and results are established for bounded Laplacian on graphs. However, the majority of classic results on Riemannian manifolds, for example the well-known Li-Yau inequality, were for the unbounded Laplace-Beltrami operator. Studies on unbounded Laplacian seem much more difficult on graphs and the proofs are usually different with the bounded cases. In this talk, I will give the Li-Yau inequality and its applications for unbounded Laplacian on graphs.
报告人简介：刘双，2017年博士毕业于人大数学系，随后到清华大学丘成桐数学科学中心做博士后。在人大读书期间，荣获人大硕士优秀毕业论文，获国家留学基金委资助并在Northeastern University联合培养一年。2018年获得博士后面上基金资助。目前在J. reine angew. Math. (Crelle), J. Geom. Anal.以及Discrete Comput Geom等知名数学期刊上发表论文7篇。