A general blowup-principle for compact support extensions of functors

Date: 2021-12-07

Time: 11:00 - 12:00


Josefien Kuijper


A characteristic property of compact support cohomology is the long exact sequence that connects the compact support cohomology groups of a space, an open subspace and its complement. Given an arbitrary invariant of algebraic varieties, taking values in a triangulated category T, one can wonder when it makes sense to define a “compact support” version of the invariant in such a way that this long exact sequence exists by construction. In this talk I give an answer to this question, in the form of an equivalence of categories of T-valued sheaves on different sites of varieties. I will discuss several applications of this theorem.