A characteristic property of compact support cohomology is the long exact sequene which connects the compact support cohomology groups of a space, an open subspace and its complement. Given an arbitrary cohomology theory of algebraic varieties, one can ask when it makes sense to define a compact support verion of this cohomology theory, such 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 hypersheaves on certain sites of varieties. I will show how this theorem implies some classical results, such as the existence of a weight filtration on compact support singular cohomology.
Freitag, den 1. Juli 2022 um 13:30 Uhr, in INF 205, SR A Freitag, den 1. Juli 2022 at 13:30, in INF 205, SR A
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Christian Dahlhausen