The spectrum of Artin motives

2024/01/05 by Balmer, Paul, Gallauer, Martin · 4 citations
#Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2401.02722

Abstract

We analyze the tt-geometry of derived Artin motives, via modular representation theory of profinite groups. To illustrate our methods, we discuss Artin motives over a finite field, in which case we also prove stratification.

Cited by

• On the tensor-triangular geometry of isotropic motives
• The Balmer spectrum of Voevodsky motives and pure symbols
• The Balmer spectrum of integral permutation modules
• Cohen's theorem in tensor triangular geometry

Related

• Integral Artin motives II: Perverse motives and Artin Vanishing Theorem
• Artin motives in relative Nori and Voevodsky motives
• Artin shapes
• Integral Artin motives I: Smooth objects and the ordinary t-structure
• Profinite Borel completeness and smooth Artin motives