4 citations · 7 across the 4 of their papers we have counts for
4 papers
The Secant Conjecture in the real Schubert calculus
Luis Garcia-Puente, Nickolas Hein, Christopher J. Hillar +4
We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian i…
Experimentation at the Frontiers of Reality in Schubert Calculus
Christopher Hillar, Luis Garcia-Puente, Abraham Martin del Campo +4
We describe a general framework for large-scale computational experiments in mathematics using computer resources that are available in most mathematics departments. This framework…
Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian
James Ruffo
The Drinfel'd Lagrangian Grassmannian compactifies the space of algebraic maps of fixed degree from the projective line into the Lagrangian Grassmannian. It has a natural projectiv…
Experimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract)
James Ruffo, Yuval Sivan, Evgenia Soprunova +1
The Shapiro conjecture in the real Schubert calculus fails to hold for flag manifolds, but in a very interesting way. In this extended abstract, we give a refinement of that conjec…