June Huh (허준이), Characteristic polynomials and the Bergman fan of matroids

Characteristic polynomials and the Bergman fan of matroids
June Huh (허준이)
Department of Mathematics, University of Michigan, Ann Arbor, USA
2011/7/28 Thu 4PM-5PM

Let V be a subvariety of the complex projective space. The amoeba of V is the set of all real vectors log|x| where x runs over all points of V in the complex torus. The asymptotic behavior of the amoeba is given by a polyhedral fan called the Bergman fan of V. We use the tropical geometry of the Bergman fan to prove the log-concavity conjecture of Rota and Welsh over any field. This work is joint with Eric Katz and is based on arXiv:1104.2519.

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