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Tropical lattices and Gauss-Laplace measures on tropical linear spaces.
Algebra & Discrete Mathematics| Speaker: | Yassine El Maazouz, Caltech |
| Location: | 1147 MSB |
| Start time: | Tue, Apr 22 2025, 2:10PM |
We present a method to compute the tropicalization of a non-archimedean lattice. This method is based on computing the entropy vector of the lattice in question and producing a polyhedral complex whose support is the image of the lattice under coordinate-wise valuation. Each lattice gives rise to a natural probability distribution on the tropical linear space obtained from the vector space it spans. We call these measures Gauss-Laplace distributions