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math.AG2024
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,…
math.AG2024
Motivic monodromy and p-adic cohomology theories
Federico Binda, Martin Gallauer, Alberto Vezzani
We build a unified framework for the study of monodromy operators and weight filtrations of cohomology theories for varieties over a local field. As an application, we give a strea…
math.AG2024
The six-functor formalism for rigid analytic motives
Joseph Ayoub, Martin Gallauer, Alberto Vezzani
We offer a systematic study of rigid analytic motives over general rigid analytic spaces, and we develop their six-functor formalism. A key ingredient is an extended proper base ch…