Geometry Seminar

Date: January 17, 2019

Time: 1:00PM - 2:00PM

Location: BLOC 628 **note

Speaker: Amy Hang Huang, University of Wisconsin Madison

Title: Equations of Kalman Varieties

Abstract: Given a subspace L of a vector space V, the Kalman variety consists of all matrices of V that have a nonzero eigenvector in L. I will discuss how to apply Kempf Vanishing technique with some more explicit constructions to get a long exact sequence involving coordinate ring of Kalman variety, its normalization and some other related varieties in characteristic zero. Time permitting I will also discuss how to extract more information from the long exact sequence including the minimal defining equations for Kalman varieties.