Lusztig's support conjecture for semicanonical basis elements

Let $Z$ be an irreducible component in the relevant module variety, and let $f_Z$ denote the corresponding semicanonical basis element. Lusztig's support conjecture. The semicanonical basis element $f_Z$ is supported on $Z$. This would identify the geometric support of each semicanonical basis element with its associated irreducible component; the source attributes the suggestion tentatively to Lusztig and notes that an analogous conjecture appears in a different context.