Embedding pencils of matrices in Grassmannians

  • Vincenzo Galgano (Max Planck Institute of Molecular Cell Biology and Genetics Dresden)
G3 10 (Lecture hall)


Pencils of matrices are 2-dimensional linear subspaces in a space of matrices. One can identify the space of squared matrices with an affine open subset of a Grassmannian, and embed a given pencil L into it. In this talk we describe the closure Y_L of the pencil inside the Grassmannian as a blow-up of the complex projective plane at finitely many points, and we relate points in the exceptional locus to a C*-action on the Grassmannian. This is a joint work in progress with F. Gesmundo and H. Keneshlou.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of this Seminar