TITLE: Applications of Schubert calculus
QUESTION [5 upvotes]: Schubert calculus is a venerable field in mathematics where the object of study is the cohomology ring of the Grassmannians. Since it has been around for over a hundred years one might wonder if any real world applications in physics for example have been found.

QUESTIONS.
(a) Does anybody know of such applications?
(b) Moreover, have applications to other areas of mathematics been found?

REPLY [3 votes]: This survey paper survey illustrates some particular applications to quantum
information theory.
Another interplay with the six-vertex model in physics can be found in this paper, for instance.