Beijing Institute of Mathematical Sciences and Applications

Shing Toung Yau

Rong Ling Wu

Thursday, December 12, 2024 4:00 PM - 5:00 PM

Online

Almost all natural and social phenomena can be viewed as complex systems composed of many interconnected and interdependent entities. Understanding the hidden patterns of complex systems helps to discover, predict and even utilize natural laws. In this talk, I will be presenting a statistical mechanics framework under which Yau-Yau nonlinear filter is implemented to coalesce all underlying entities into mathematical networks. These so-called Yau-Yau networks can capture entity-entity interactions at various orders and how they perturb around real states. GLMY homology theory is used to dissect the topological structure and function of Yau-Yau networks. We show how the unification of GLMY homology and Yau-Yau networks can serve as a powerful tool to reveal fundamental principles of natural and social complexities.

Rongling Wu, received a Ph.D. in Quantitative Genetics from the University of Washington (Seattle) in 1995. He was a Distinguished Professor of Statistics and Public Health Sciences at Pennsylvania State University, and Director of the Center for Statistical Genetics. He is currently the Zeng Siming Chair Professor of Yau Mathematical Sciences Center, Tsinghua University. He is also a researcher at Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, and also serves as editor-in-chief, associate editor, special editor and editorial board member of several journals in the fields of genetics, bioinformatics and computational biology. He was selected as a fellow of the American Association for the Advancement of Science and the American Statistical Association, and won the Distinguished Researcher Award of the American Institute of Applied Mathematics and Statistics (SAMSI), the University of Florida Research Fund Professor Award, the Pennsylvania State University Distinguished University Professor Award, and the Floyd Science Innovation Award. Research interests include: developing interdisciplinary statistical methods to reveal the genetic control mechanisms of complex traits and human complex diseases. The proposed functional mapping method can effectively discover the genetic rules of trait development and describe the key patterns of gene effects changing over time and space. Combining functional mapping with evolutionary game theory, scale theory, and prey-predator theory, a series of computational methods have been developed to construct multi-level, multi-space, and multi-scale genotype-phenotype relationships from molecules to phenotypes The three-dimensional network provides analysis tools for systems biology, systems medicine, and systems pharmacology research. Published more than 400 SCI papers in important international journals such as Nature Reviews Genetics, Nature Communications, PNAS, Journal of the American Statistical Association, Annals of Applied Statistics, Physics of Life Reviews, Physics Reports, Briefings in Bioinformatics, Cell Reports, Evolution, etc. The research results have been cited or highlighted by important journals such as Science and Cell.