TL;DR
This paper develops a nearby cycles formalism within the homotopy category of parity sheaves on stratified spaces, aiming to advance modular geometric representation theory.
Contribution
It introduces a nearby cycles formalism in the mixed modular derived category of parity sheaves, extending tools for stratified spaces.
Findings
Formalism applicable to stratified spaces with parity sheaves
Potential applications in modular geometric representation theory
Framework enhances understanding of sheaf-theoretic methods
Abstract
Let X be a stratified space on which the Juteau-Mautner-Williamson theory of parity sheaves is available. We develop a "nearby cycles formalism" in the framework of the homotopy category of parity sheaves on X, also known as the mixed modular derived category of X. This construction is expected to have applications in modular geometric representation theory.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Nonlinear Waves and Solitons