TRR 358 - Hereditary categories, reflection groups and non-commutative curves (Subproject C02)


There are deep connections between quiver representations and Coxeter groups involving the associated root systems, Lie algebras and quantum groups. We will study a parallel situation in which coherent sheaves on certain non-commutative curves, called exceptional curves, correspond to other types of reflection groups. Such exceptional curves include weighted projective lines, but when the base field is not algebraically closed, there are other examples which we want to concentrate on. We will also study the associated non-crossing partitions and Artin groups.

DFG Programme CRC/Transregios

Subproject of TRR 358: Integral Structures in Geometry and Representation Theory

Applicant Institution Universität Bielefeld

Key Facts

Project type:
Project duration:
01/2023 - 12/2026
Funded by:
DFG-Datenbank gepris

More Information

Principal Investigators

contact-box image

Prof. Dr. Igor Burban


About the person
contact-box image

Barbara Baumeister

Universität Bielefeld

About the person (
contact-box image

William Crawley-Boevey

Universität Bielefeld

About the person (

Cooperating Institutions

Universität Bielefeld

Cooperating Institution