报告题目：Interleaving Distance for Sheaves and Symplectic Geometry

报告人：Yuichi Ike（Institute of Mathematics for Industry, Kyushu University）

时间：2023年4月20日    10：00 -11：00    

地点：腾讯会议号：239 916 338，无需密码

报告摘要：

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.