10 papers
Rigidity of higher Auslander algebras of type
Sibylle Schroll, Andrea Solotar, Can Wen
We show that the Hochschild cohomology of higher Auslander algebras of type vanishes in all positive degrees and is one-dimensional in degree zero. As a consequence, t…
Rickard's Derived Morita Theory: Review and Outlook
Gustavo Jasso, Henning Krause, Sibylle Schroll
We survey the main results in Jeremy Rickard's seminal papers `Morita theory for derived categories' and `Derived equivalences and derived functors'. These papers catalysed the lat…
Entropy of the Serre functor for partially wrapped Fukaya categories of surfaces with stops
Wen Chang, Alexey Elagin, Sibylle Schroll
We prove that the entropy of the Serre functor in the partially wrapped Fukaya category of a graded surface with stops is given by the function sending $t \in \ma…
On geometric models in representation theory
Sibylle Schroll
Geometric models have emerged as an important tool in the representation theory of algebras. Surface models associated to gentle algebras have been particularly fruitful in advanci…
Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation
Xiuli Bian, Sibylle Schroll, Andrea Solotar +2
In this paper we calculate the Hochschild cohomology of graded skew-gentle algebras, together with its structure as graded commutative algebra under the cup product and its Lie alg…
On the -tilting finiteness and silting-discreteness of graded (skew-) gentle algebras
Wen Chang, Haibo Jin, Sibylle Schroll +1
This paper investigates finiteness conditions for gentle and skew-gentle algebras. First, we prove that a skew-gentle algebra is -tilting finite if and only if it is representa…