Tuesday, November 8, 14:00

Alessio Cipriani, Projective and quasi-hereditary perverse sheaves.

Abstract:
While simple perverse sheaves have an explicit description, projective perverse sheaves are in general not well-understood. I will show that, under suitable topological assumptions on the space one considers, one can inductively build projective covers of simple perverse sheaves. This allows one to realise a category of perverse sheaves as modules over a finite dimensional algebra A. Finally, I will discuss under which further topological conditions the algebra A is quasi-hereditary.
This talk is based on joint and ongoing work with Jon Woolf.