4 papers · 1 filter
Classifying torsion classes of gentle algebras
Aaron Chan, Laurent Demonet
For a finite-dimensional gentle algebra, it is already known that the functorially finite torsion classes of its category of finite-dimensional modules can be classified using a co…
A survey on maximal green sequences
Laurent Demonet, Bernhard Keller
Maximal green sequences appear in the study of Fomin-Zelevinsky's cluster algebras. They are useful for computing refined Donaldson-Thomas invariants, constructing twist automorphi…
Introduction to algebras of partial triangulations
Laurent Demonet
The aim of this note is to give a gentle introduction to algebras of partial triangulations of marked surfaces, following the structure of a talk given during the 49th symposium on…
Example of categorification of a cluster algebra
Laurent Demonet
We present here two detailed examples of additive categorifications of the cluster algebra structure of a coordinate ring of a maximal unipotent subgroup of a simple Lie group. The…