Periods in equivariant and motivic contexts
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912716288950272 |
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| author | Gallauer, Martin |
| author_facet | Gallauer, Martin |
| contents | 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.) |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14325 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Periods in equivariant and motivic contexts Gallauer, Martin Category Theory Algebraic Geometry Algebraic Topology Representation Theory 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.) |
| title | Periods in equivariant and motivic contexts |
| topic | Category Theory Algebraic Geometry Algebraic Topology Representation Theory |
| url | https://arxiv.org/abs/2511.14325 |