Seminars: R. Serova, Small maximal spaces of degenerate matrices

SEMINARS


Iskovskikh Seminar April 28, 2022 18:00, Moscow, Steklov Mathematical Institute, Room 530 (8 Gubkina) + online

Small maximal spaces of degenerate matrices R. Serova Lomonosov Moscow State University
Abstract: In 1985 Fillmore, Laurie and Radjavi asked whether a maximal linear subspace in the variety of degenerate $N \times N$-matrices can have dimension smaller than $N$. Following the work of J. Draisma, we will show that for infinitely many $N$ there exists an 8-dimensional maximal space in the variety of degenerate $N \times N$-matrices.