Seckin Adali (UiO): Singularities of Restriction Varieties in OG(k, n)

Seckin Adali (UiO), gives the Seminar in Algebra and Algebraic Geometry:

Singularities of Restriction Varieties in OG(k,n)

Seckin Adali

Abstract: Restriction varieties in the orthogonal Grassmannian are subvarieties of OG(k, n) defined by rank conditions given by a flag that is not necessarily isotropic with respect to the relevant symmetric bilinear form. In particular orthogonal Schubert varieties are examples of restriction varieties. In this talk, I will describe a resolution of singularities for restriction varieties which is inspired by the Bott-Samelson/Zelevinsky resolution and describe their singular locus. I will also discuss the relation between the singular locus and the image of the resolution of singularities.

Published Sep. 19, 2016 9:23 AM - Last modified July 31, 2018 12:27 PM