17-10-2018
608

数学学院学术报告-10月18日

报告人:刘双(清华大学)

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。

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