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.