The Algebra & Geometry of Modern Physics

Concepts of fatgraphs and partial chord diagrams occur in many branches ofmathematics, including topology, geometry, and representation theory.During the last decade, some applications of these mathematical objects tothe research of the molecular biology have been reported. Among them, inparticular, a characterization by the genus in the fatgraph presentationof the RNA has been studied remarkably. In this talk, I will explain howthe concepts of fatgraphs and partial chord diagrams are applied to thestudy of the secondary structure of the RNA with.pseudoknots, andintroduce the matrix model that is invented by basic techniques of thequantum field theory.