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Computing convex hulls in the affine building of \(\text{SL}_d\)

Algebra & Discrete Mathematics

Speaker: Leon Zhang, UC Berkeley
Location: 2112 MSB
Start time: Mon, Mar 4 2019, 12:10PM

Faltings introduced a notion of convexity in the affine building of \(\text{SL}_d\), which describes the relations among a finite collection of invertible matrices over a discrete valued field. We give an algorithm for realizing these convex hulls as tropical polytopes in an ambient tropical space.