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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.10504 |
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| _version_ | 1866918383881027584 |
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| author | Assaf, Eran Brandt, Madeline Bruce, Juliette Chan, Melody Vlad, Raluca |
| author_facet | Assaf, Eran Brandt, Madeline Bruce, Juliette Chan, Melody Vlad, Raluca |
| contents | This paper provides a rigorous study of tropicalizations of locally symmetric varieties. We give applications beyond tropical geometry, to the cohomology of moduli spaces as well as to the cohomology of arithmetic groups. We study two cases in detail: the special unitary case, and the case of level structures on the moduli space $\mathcal{A}_g$ of abelian varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10504 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropicalizations of locally symmetric varieties Assaf, Eran Brandt, Madeline Bruce, Juliette Chan, Melody Vlad, Raluca Algebraic Geometry Algebraic Topology Combinatorics K-Theory and Homology Number Theory 14T20, 14T25, 14G35, 11F75, 14K10 This paper provides a rigorous study of tropicalizations of locally symmetric varieties. We give applications beyond tropical geometry, to the cohomology of moduli spaces as well as to the cohomology of arithmetic groups. We study two cases in detail: the special unitary case, and the case of level structures on the moduli space $\mathcal{A}_g$ of abelian varieties. |
| title | Tropicalizations of locally symmetric varieties |
| topic | Algebraic Geometry Algebraic Topology Combinatorics K-Theory and Homology Number Theory 14T20, 14T25, 14G35, 11F75, 14K10 |
| url | https://arxiv.org/abs/2505.10504 |