Initial degenerations of Grassmannians
报告人：Daniel Corey (University of Nevada)
时间：2024-06-10 10:00-11:00
地点：智华楼412
【摘要】
In this talk, I will describe a relationship between initial degenerations of the Grassmannian Gr(d,n) and inverse limits of matroid strata of the Grassmannian. For (d,n) = (2,n), (3,6), (3,7), and (3,8), this relationship, together with a large combinatorial analysis, is used to prove that Gr(d,n) is schön in the sense of Tevelev. The primary application of this result is a resolution of a conjecture of Keel and Tevelev, that the Chow quotient of Gr(d,n) by the diagonal torus of PGL(n) is the log canonical compactification of the moduli space of n lines in P^{d-1} (for the pairs (d,n) listed above). Recently, we showed that Gr(d,n) is not schön for an infinite number of pairs (d,n). Part of this work is joint with Dante Luber.
