We study Vassiliev invariants of Brunnian links, which are links
whose proper sublinks are all trivial.
It is known that a Brunnian link with (n+1)>2 components cannot be
distinguished from the unlink by any Vassiliev invariant of degree
The purpose of this talk is to study the first nontrivial case. We
will show that the restriction of an invariant of degree 2n to
(n+1)-component Brunnian links can be expressed as a quadratic form
on the Milnor link-homotopy invariants of length n+1.