Chrysostomos Psaroudakis (NTNU Trondheim)

Infinite ladders induced by preprojective algebras.

Abstract:

A ladder is a recollement of triangulated categories together with a (possible infinite) sequence of triangle functors going upwards or downwards such that any three consecutive rows form a recollement of triangulated categories. Ladders were introduced by Beilinson-Ginzburg-Schechtman and recently ladders of derived categories have attracted a lot of attention in representation theory of finite dimensional algebras. The aim of this talk is first to discuss ladders of recollements of compactly generated triangulated categories and then show that the derived category of the preprojective algebra of Dynkin type A_n admits a periodic infinite ladder. This talk is based on joint work with Nan Gao (arXiv:1611.09973).