|Date: Friday, February 09, 2018
Location: 1360 East Hall (12:10 PM to 2:00 PM)
Title: The first thing to know about Perverse Sheaves
Abstract: According to Beilinson, Bernstein and Deligne, "perverse sheaves are neither sheaves nor perverse"; apparently this is the first thing one should know about perverse sheaves (MacPherson). In this talk, we will see precisely what this quote means: these objects in the constructible derived category of sheaves can be perceived as local systems with singularities, and they generalize the intersection cohomology, which make them natural objects of study on singular spaces. As a concrete example, we will examine simple perverse sheaves on a smooth complex algebraic curve. Time permitting, we will explain Deligne's construction, which allows calculation of intersection complex by induction on strata.
Speaker: Ruian Chen
Institution: University of Michigan