Log-Concavity and Hodge Theory of Matroids
Adiprasito–Huh–Katz and the combinatorial Hodge theory program.
Log-Concavity and Hodge Theory of Matroids. Adiprasito–Huh–Katz and the combinatorial Hodge theory program.
Recent technical contributions
A handful of recent papers carry the methodological frontier of log-concavity and hodge theory of matroids forward. Hodge theory for combinatorial geometries (Adiprasito et al., 2018) is a primary reference for this area and develops new techniques or results that downstream work builds on.
Open methodological questions for log-concavity and hodge theory of matroids include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- paper · primary · 2018adiprasito-2018, huh-2018, katz-2018
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