Tropicalizations of locally symmetric varieties
Algebraic Geometry
2026-03-13 v2 Algebraic Topology
Combinatorics
K-Theory and Homology
Number Theory
Abstract
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 of abelian varieties.
Keywords
Cite
@article{arxiv.2505.10504,
title = {Tropicalizations of locally symmetric varieties},
author = {Eran Assaf and Madeline Brandt and Juliette Bruce and Melody Chan and Raluca Vlad},
journal= {arXiv preprint arXiv:2505.10504},
year = {2026}
}
Comments
60 pages, 1 figure. Reorganized to improve clarity