Juliette Bruce: Multigraded regularity on products of projective spaces

On projective space the Castelnuovo-Mumford regularity of a module can be characterized in terms of the betti numbers, local cohomology, and truncations of the module. I will discuss recent work exploring the relationship between multigraded Castelnuovo-Mumford, truncations, Betti numbers, and virtual resolutions for modules on products of projective spaces. This is joint work with Lauren Cranton Heller and Mahrud Sayrafi.