【4.20】Interleaving Distance for Sheaves and Symplectic Geometry


报告人Yuichi IkeInstitute of Mathematics for Industry, Kyushu University


地点:Zoom会议号: 858 0911 5251,密码: 528485


The interleaving distance is a canonical pseudo-distance for persistence modules, and its stability property plays an important role in topological data analysis. Recently, it has been generalized to a pseudo-distance on the derived category of sheaves. In this talk, I show that the distance for sheaves has the stability property with respect to Hamiltonian deformation, and it can be used to give a lower bound of displacement energy. I would also like to explain our result on the completeness of the distance and its application to C^0-symplectic geometry. Joint work with Tomohiro Asano.