[QSMS Symplectic topology seminar-20240507]  Introduction to triangulated persistence categories

by qsms posted May 10, 2024


PrevPrev Article

NextNext Article


Larger Font Smaller Font Up Down Go comment Print
Extra Form
일정시작 2024-05-07
배경색상 #FF5733
  • Date:  2024-05-07 (Tue). 15:30 ~ 17:30
  • Place:  상산관 301호 (SNU)
  • Speaker:  김종명 박사(QSMS, SNU)
  • Title:  Introduction to triangulated persistence categories

  • 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.