# Linear subspaces and the angles of inclination: contribution to W.M. Schmidt's theory

12.02.2019 13:15 - 14:45

Nikolay Moshchevitin, Moscow Lomonosov State University

We prove a metric statement about approximation of  a $$n$$-dimensional linear subspace $$A$$ in $$\mathbb{R}^d$$ by $$n$$-dimensional rational subspaces. We consider the problem of finding rational subspace $$B$$  of bounded height $$H=H(B)$$ for which the angle of inclination $$\psi (A,B)$$ is small in terms of $$H$$. In the simplest case $$d=4, n=2$$ we give a partial solution of a problem formulated by W.M. Schmidt in 1967.

Organiser:

Location: