67 citations · 453 across the 47 of their papers we have counts for
7 papers · 1 filter
The spectrum of Artin motives
Paul Balmer, Martin Gallauer
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,…
Three real Artin-Tate motives
Paul Balmer, Martin Gallauer
We analyze the spectrum of the tensor-triangulated category of Artin-Tate motives over the base field R of real numbers, with integral coefficients. Away from 2, we obtain the same…
Affine space over triangulated categories: a further invitation to Grothendieck derivators
Paul Balmer, John Zhang
We propose a construction of affine space (or "polynomial rings") over a triangulated category, in the context of stable derivators.
Witt groups of Grassmann varieties
Paul Balmer, Baptiste Calmès
We compute the total Witt groups of (split) Grassmann varieties, over any regular base X. The answer is a free module over the total Witt ring of X. We provide an explicit basis fo…
Geometric description of the connecting homomorphism for Witt groups
Paul Balmer, Baptiste Calmès
We give a geometric setup in which the connecting homomorphism in the localization long exact sequence for Witt groups decomposes as the pull-back to the exceptional fiber of a sui…
Gluing in tensor triangular geometry
Paul Balmer, Giordano Favi
We discuss gluing of objects and gluing of morphisms in tensor triangulated categories. We illustrate the results by producing, among other things, a Mayer-Vietoris exact sequence…
Presheaves of triangulated categories and reconstruction of schemes
Paul Balmer
To any triangulated category with tensor product , we associate a topological space , by means of thick subcategories of , a la Hopkins-Neeman-Thoma…