EVENT DETAILS AND ABSTRACT

Title: Constructible stacks
Speaker: Professor David Treumann
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Abstract:

For a Whitney stratification $S$ of a topological space $X$, we introduce the notion of an $S$-constructible stack of categories on $X$. The motivating example is the stack of $S$-constructible perverse sheaves. We introduce a 2-category $EP_{\leq 2}(X,S)$, called the exit-path 2-category, which is a natural stratified version of the fundamental 2-groupoid. Our main result is that the 2-category of $S$-constructible stacks on $X$ is equivalent to the 2-category of 2-functors $Funct(EP_{\leq 2}(X),Cat)$.