Tuesday, March 24, 14:00, 7.527

Locally coherent t-structures.

Abstract:
In a recent paper, F. Marks and A. Zvonareva proved that, if A is a coherent ring, then there is a bijection between (1) intermediate t-structures in D^b(mod-A), and (2) intermediate, compactly generated t-structures in D(Mod-A) with a locally coherent heart H, whose finitely presented objects are given by H∩D^b(mod-A). In this talk, we will introduce and study a new class of t-structures, called (weakly) locally coherent, on the base of a strong and stable derivator. In particular, we will show that the correspondence established by Marks and Zvonareva is a particular instance of an abstract bijection that can be established in any strong and stable derivator endowed with a weakly locally coherent t-structure.This talk is based on a joint project with M. Saorín and J. Stovicek.