capotain
A type of tall, narrow-brimmed hat with a flat top and slight conical profile. Historically heavily associated with the Puritan movement in England. Sometimes also called a "pilgrim hat" or a "sugarloaf hat", though these two names can also refer to other styles of hat.
In fiction this style of hat is frequently given to characters who work as witch hunters or inquisitors. In such cases the hat will usually be festooned with one or multiple leather belts wrapped around the brim and/or crown.
Because of the above depiction of the capotain in fiction, this hat is also called a "witch hunter('s) hat".