Seminar

Postdoc day, Seminar 1: A general descent principle for compact support extensions

Higher algebraic structures in algebra, topology and geometry

01 April 14:15 - 14:45

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 stable infinity-category C, one can wonder under what conditions it is possible to construct 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 C-valued hypersheaves on different sites of algebraic varieties. I will discuss some applications of this theorem.

 

Click here to watch the seminar

Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

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