Connectivity of group C*-algebras
This project is advertised as part of the EPSRC Doctoral Training Partnership. It is currently not available to self-funded applicants.
The student working on this project would study these new techniques and apply them towards proving a long-standing conjecture: the category of generalised braids acts on the derived categories of (the cotangent bundles of) full and partial flag varieties.
Generalised braids are the braids whose strands are allowed to touch in a certain way. They have multiple endpoint configurations and can be non-invertible, thus forming a category rather than a group.