In this talk, we discuss the closedness of the support of the local cohomology modules in prime characteristic rings when the associated Koszul cohomology modules have finite projective dimension. We use the R-module structure on the local cohomology module and an acyclicity criterion of Peskine and Szpiro. This is a continuation of previous talks on this theme in the last few weeks, and in particular the talk on the 1st of April.