By default AdapTable will use its Quick Filter (the row under the toolbar) and FilterForm (the second item in the Column menu).
If you prefer, you can use those provided by AG Grid which are also highly advanced. You do this by setting the useAdaptableQuickFilter and useAdaptableFilterForm properties in Search Options
Any filters created with these forms will NOT be stored with your AdapTable state, e.g. if you type in the 'Ship Via' Floating Filter bar, the Column Filter toolbar does not update.
This example we are using AG Grid's Floating Filter and Filter Form. The Employee and Ship Country columns are using the agSetColumnFilter type.