|タイトル||A derived isometry theorem of Berkouk-Ginot|
|開催日時||2019年7月11日 13:00 - 14:00 + 30 min|
|講演者||Kei Hagihara 氏|
|場所||Keio University, Yagami-campus Bldg.14th, 6F
|内容||To define a good distance between "topological datasets" is one of the most important themes in topological data analysis.
With this motivation, Kashiwara and Schapira introduced the convolution distance between complexes of sheaves with the language of sheaves and derived categories, in the paper "Persistent homology and microlocal sheaf theory".
In this talk, we give an overview of Berkouk-Ginot's preprint "A derived isometry theorem for sheaves"(arXiv: 1805:09694), where they give an explicit way for the computations of the convolution distance in terms of the combinatorial objects called "graded barcodes".