The filters in the sidebar in the Content Browser and List Browser will add the filter config as query string parameters to the URL.
There you can see an example to then re-use in e.g. tagboxes. ContentBrowser/screenshots?filter=%7B"kind":"AggregationFilter","aggregationName":"product.area._refId","filter":%7B"kind":"NestedFilter","path":"product.area","filter":%7B"kind":"TermFilter","field":"product.area._refId","term":"c03a6edf8195460280de412397739eb0"%7D%7D%7D