3 papers
math.RT2026
Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra
Rosanna Laking, Alexandra Zvonareva
In this paper we consider a family of nested t-structures given by silting objects and construct a silting object corresponding to the intersection of aisles of these t-structures…
math.CT2026
The shift-homological spectrum and parametrising kernels of rank functions
Isaac Bird, Jordan Williamson, Alexandra Zvonareva
For any compactly generated triangulated category we introduce two topological spaces, the shift-spectrum and the shift-homological spectrum. We use them to parametrise a family of…
math.RT2024
Derived equivalences of Brauer graph algebras
Alexandra Zvonareva
The aim of this short survey is to trace back the ingredients going into the derived equivalence classification of Brauer graph algebras and into the proof of the fact that these a…