Matroids and the Moduli Space of Abelian Varieties
APA
Bruce, J. (2025). Matroids and the Moduli Space of Abelian Varieties. Perimeter Institute. https://pirsa.org/25030167
MLA
Bruce, Juliette. Matroids and the Moduli Space of Abelian Varieties. Perimeter Institute, Mar. 13, 2025, https://pirsa.org/25030167
BibTex
@misc{ pirsa_PIRSA:25030167, doi = {10.48660/25030167}, url = {https://pirsa.org/25030167}, author = {Bruce, Juliette}, keywords = {Mathematical physics}, language = {en}, title = {Matroids and the Moduli Space of Abelian Varieties}, publisher = {Perimeter Institute}, year = {2025}, month = {mar}, note = {PIRSA:25030167 see, \url{https://pirsa.org}} }
Dartmouth College
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Abstract
Inspired by recent work calculating the top weight cohomology of the moduli space $\mathcal{A}_g$ of principally polarized abelian varieties of dimension $g$ for small values of $g$, I will discuss a connection between matroids and compactifications of $\mathcal{A}_g$ that is anlogous to the connection between graphs and compactifications of the moduli space of curves. Given time I will also discuss recent work computing the homology of various matroid complexes.