November 11, 2025, 11:00 +0100
Verona, Ca’ Vignal 2 Sala Riunioni

Limits of cosilting complexes and colimits of silting complexes

Rosie Laking, University of Verona

Abstract

I will present joint work with Alexandra Zvonareva in which we show how to construct new (co)silting complexes from a sequence of (co)silting complexes whose (co)silting classes form a chain. This work is motivated by finite-dimensional algebras whose \(g\)-vector fan is dense in \(\mathbb{R}^n\). Taking a point \(P\) of \(\mathbb{R}^n\) that is outside the \(g\)-vector fan, we can construct such sequences of (co)silting classes determined by a converging sequence of points inside the \(g\)-vector fan; I will explain how the newly constructed (co)silting complex can be seen to represent the point \(P\).