Topology Seminar: Thomas Huettemann (Queen's University Belfast)

Toric schemes admit a combinatorial description which, in turn, allows one to describe sheaves of modules by certain diagram categories. I will explain these basic constructions in some detail, and then give a non-standard approach to constructing the derived category of a regular toric scheme; in technical language, the derived category will appear as the homotpy category of a colocalisation of a simple diagram category.