Connections to Schubert Calculus Learning Seminar

In 1984, Ryan showed that any smooth Schubert variety in type A is an iterated fiber-bundle of Grassmannian varieties. Later, Haiman calculated the generating function for the number of smooth permutations (equivalently smooth Schubert varieties) of...

One way to define a matroid is via its base polytope.  From this point of view, some matroid invariants easily have geometric interpretations: e.g., the number of bases is the number of vertices of the polytope.  It turns out that most interesting...

Expressing combinatorial invariants of matroids as intersection numbers on algebraic varieties has become a popular tool in algebraic combinatorics. Several conjectured inequalities among combinatorial data can be traced back to positivity results...

The reverse Khovanskii-Teissier inequality is a three term inequality for nef divisors which first appeared in the context of Kähler geometry. It provides an upper bound on a product of two divisors in terms of products with the third, hence its...

The reverse Khovanskii-Teissier inequality is a three term inequality for nef divisors which first appeared in the context of Kähler geometry. It provides an upper bound on a product of two divisors in terms of products with the third, hence its...