15:30–16:10 Verifying (non-)hyperbolicity of 3-manifolds by computer, MASAI, Hidetoshi (Tokyo Institute of Technology)

16:30–17:10 Informationline geometry with iPad, TAKATSU, Asuka (Tokyo Metropolitan University)

17:30–18:10 Visualization software GLSC3D and mathematical research on morphogenesis, AKIYAMA, Masakazu (Meiji University)

Abstract

15:30–16:10 Verifying (non-)hyperbolicity of 3-manifolds by computer, MASAI, Hidetoshi (Tokyo Institute of Technology)

In the theory of 3-manifolds, topology knows geometry. The geometrization conjecture, raised by Thurston solved by Perelman, shows further the importance of the hyperbolic geometry for 3-dimensional topology. In this talk, we discuss computational methods to verify (non-)hyperbolicity of 3-manifolds.

16:30–17:10 Informationline geometry with iPad, TAKATSU, Asuka (Tokyo Metropolitan University)

The aim of this talk is to share my knowledge of online lectures. I will demonstrate my talk in lecture style, where the subject is Information geometry.

17:30–18:10 Visualization software GLSC3D and mathematical research on morphogenesis, AKIYAMA, Masakazu (Meiji University)

There are many tools such as Gnuplot and AVS that can input and visualize numerical values from the outside. On the other hand, there are tools such as Mathematica and Matlab that can visualize while performing numerical calculations in real time. However, such software has disadvantages such as being charged and the speed of calculation and visualization is very slow. With this background, we have developed GLSC3D(*1), a visualization software that can be described in C and C ++ and can execute drawing commands at high speed using OpenGL (Shader). In the lecture, after introducing the functions of GLSC3D, I would like to talk about my specialty, the introduction of mathematical models of morphogenesis and the visualization results.