Current Developments in Mathematics

Volume 2016

Tropical geometry of matroids

Pages: 1 – 46



June Huh (Institute for Advanced Study, Princeton, New Jersey, U.S.A.)


Lecture notes for Current Developments in Mathematics 2016, based on joint work with Karim Adiprasito and Eric Katz. We give a gentle introduction to the main result of “Hodge theory for combinatorial geometries” [arXiv:1511.02888], the Hodge–Riemann relations for matroids, and provide a detailed description of the geometry behind from a tropical point of view.

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