8 papers
The derived moduli of perverse sheaves
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We construct higher derived Artin stacks parametrizing constructible sheaves on complex algebraic varieties and compact real analytic varieties. Furthermore, we show that every per…
Exodromy beyond conicality
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We show that compact subanalytic stratified spaces and algebraic stratifications of real varieties have finite exit-path -categories, refining classical theorems of Lefsche…
Classifying anima of condensed -categories of points
Peter J. Haine
We compare the classifying anima of two natural condensed -categories associated to a coherent -topos. One from our work with Barwick and Glasman on exit-path categ…
Localizing invariants of constructible sheaves
Qingyuan Bai, Peter J. Haine
Given an open-closed decomposition of the stratifying poset, we construct a new semi-orthogonal decomposition of the -category of constructible sheaves on a stratified spac…
Spectral weight filtrations
Peter J. Haine, Piotr PstrÄ gowski
We provide a description of Voevodsky's -category of motivic spectra in terms of the subcategory of motives of smooth proper varieties. As applications, we construct weight…
The condensed homotopy type of a scheme
Peter J. Haine, Tim Holzschuh, Marcin Lara +3
We study a condensed version of the étale homotopy type of a scheme, which refines both the usual étale homotopy type of Friedlander-Artin-Mazur and the proétale fundamental gro…