Algebra and Combinatorics Seminar
Date: October 25, 2019
Time: 3:00PM - 3:50PM
Location: BLOC 506A **
Speaker: Frank Sottile, Texas A&M University
Title: Composed Schubert Problems
Abstract: A composition of Schubert problems is a construction that takes two Schubert problems on possibly different Grassmannians and gives a Schubert problem on a larger Grassmannian whose number of solutions is the product of the numbers of solutions of the original problems. This generalizes a construction that was discovered while classifying Schubert problems with imprimitive Galois groups.
I will explain this construction and the product formula, which has both an algebraic and a bijective proof. I will also discuss how this construction is related to Galois groups of Schubert problems. This is joint work with Li Ying and Robert Williams.