A general blowup-principle for compact support extensions of functors

Moduli and Algebraic Cycles

07 December 11:00 - 12:00

Josefien Kuijper - Stockholm University

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.

Click here to watch the seminar

John Christian Ottem
University of Oslo
Dan Petersen
Stockholm University
David Rydh
KTH Royal Institute of Technology


Dan Petersen


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