I've created a public site. It includes a document library (of conference white papers). I've added lookup columns from custom lists for the conferences the paper was presented at and the categories the paper applies to. I've created a custom view that includes those columns and put that view on a page.
When I'm logged into Office 365 and I bring up the page, I can filter on those columns using the column header dropdown. But when I publish the page to my public site, the filters don't work.