## Fragmentation pseudo-metrics and Lagrangian submanifolds

Octav Cornea

Université de Montréal

March 27, 2020

The purpose of the talk is to discuss a class of pseudo-metrics that can be defined on the set of objects of a triangulated category whose morphisms are endowed with a notion of weight. In case the objects are Lagrangian submanifolds (possibly immersed) there are a some natural ways to define such pseudo-metrics and, if the class of Lagrangian submanifolds is unobstructed, these pseudo-metrics are non-degenerate and extend in a natural way the Hofer distance.

The talk is based on joint work with P. Biran and with E. Shelukhin.

The talk is based on joint work with P. Biran and with E. Shelukhin.