By Paul Biran
K-theory, in its classical form, associates to a triangulated category an abelian group called the K-group (or the Grothendieck group). Important invariants of various triangulated categories are known to factor through their K-groups. In this talk we will explain the foundations of persistence K-theory, which is an analogous theory for triangulated persistence categories. In particular we will introduce new persistence measurements coming from these K-groups, and new invariants coming from the combination of the persistence and triangulated structures. In the last part of the talk we will exemplify this new theory on the case of the persistence Fukaya category of Lagrangian submanifolds. In particular we will show how our invariants can distinguish between modules that can represent embedded Lagrangians and those who can represent only immersed ones. Based on joint work with Octav Cornea and Jun Zhang.
By Mélanie Bertelson
By Jean-Paul Mohsen
By Mohammed Abouzaid
By Ailsa Keating
By Daniel Alvarez-Gavela
By Kyler Siegel
By András Stipsicz
By Ko Honda
By Yu Pan
By Oleg Lazarev
By Paul Biran
By Ana Rechtman
By Albert Schwarz
By Albert Schwarz
By Juan Camilo Arosemena Serrato
By Pieter Spaas
By Francesca Arici
By Amine Marrakchi
