Seminar

Consider a linearly reductive group acting nicely on a polynomial ring over a field of characteristic zero. This action endows an extra structure upon certain local cohomology modules of the ring; studying this structure has the potential to provide examples and answer open questions on local cohomology modules. We will present this theory through the example of local cohomology with support in the ideal generated by the maximal minors of a generic matrix; we will also mention how this theory can be applied in other settings (as part of work in progress).