Periods in equivariant and motivic contexts

Martin Gallauer

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arXiv · 2511.14325

Periods in equivariant and motivic contexts

Martin Gallauer

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Abstract

We define the period as a multiplicative characteristic of stably symmetric monoidal $\infty$-categories, develop its basic properties, and study many examples, with a focus on `ordinary' equivariant and motivic homotopy theory. We apply the findings to isotropic points in motivic tt-geometry. (Includes an appendix by Ivo Dell'Ambrogio on generalized comparison maps in tt-geometry.)

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Martin Gallauer. 2025-11-18. Periods in equivariant and motivic contexts. https://arxiv.org/abs/2511.14325

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