- Date: 2024-05-07 (Tue). 15:30 ~ 17:30
- Place: 상산관 301호 (SNU)
- Speaker: 김종명 박사(QSMS, SNU)
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Title: Introduction to triangulated persistence categories
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Abstract: In 1990, Hofer introduced a metric, which is now called the Hofer metric, on the group of Hamiltonian diffeomorphisms of a symplectic manifold. Its Lagrangian analogue was studied by Chakanov in 2000. Then, in 2018, Biran, Cornea and Shelukhin defined a (pseudo)metric on the space of Lagrangian submanifolds which can be thought of as an
enhancement of the Lagrangian Hofer metric. Recently, Biran, Cornea and Zhang developed a theory of triangulated persistence categories and showed that an analogous (pseudo)metric can be defined on the set of objects of a triangulated persistence category. In this talk, I will briefly review the geometric background and explain the theory of triangulated persistence categories.