600

Date | May 07, 2024 |
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Speaker | 김종명 |

Dept. | 서울대학교 |

Room | 129-301 |

Time | 15:30-17:30 |

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.

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