English

Periods in equivariant and motivic contexts

Category Theory 2025-11-19 v1 Algebraic Geometry Algebraic Topology Representation Theory

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.)

Keywords

Cite

@article{arxiv.2511.14325,
  title  = {Periods in equivariant and motivic contexts},
  author = {Martin Gallauer},
  journal= {arXiv preprint arXiv:2511.14325},
  year   = {2025}
}

Comments

49 pages, including appendix (13 pages) by Ivo Dell'Ambrogio