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Subdivisions of permutahedra and MV polytopes
Algebra & Discrete Mathematics| Speaker: | Joel Kamnitzer, McGill University |
| Related Webpage: | https://www.math.mcgill.ca/jkamni/ |
| Location: | 1147 MSB |
| Start time: | Mon, Oct 19 2026, 4:10PM |
Description
Boretsky-Eur-Williams showed that a point of the totally positive tropical flag variety gives a coherent subdivision of the permutahedron into Bruhat interval polytopes. On the other hand, such a point also defines an MV polytope. I will explain how the MV polytope has a similar decomposition into shifted scaled Bruhat interval polytopes. Moreover we can characterize MV polytopes as precisely those polytopes admitting such decompositions. This is joint work with Jonathan Boretsky.