DFF grant for project on distributive lattices in triangulated categories
Associate Professor Sira Helena Gratz from the Department of Mathematics, Aarhus University, has received a grant from the Independent Research Fund Denmark (DFF) for the project “Distributivity in Algebra and Geometry”.
In the 1950s, Øystein Ore proved that a finite group is cyclic if and only if its lattice of subgroups is distributive. The project aims to establish an analogous programme for triangulated categories: it will show that distributivity of the lattice of thick subcategories of a triangulated category has strong implications both for the properties of the triangulated category itself and for the algebraic and geometric objects that underlie it.
The project will fund a postdoctoral position.