Our capital is a bit of an oddball. It's the only city in America without any host state. As a result, the city council have a lot more control over their city but the federal government has a lot of power over that city. DC also lacks any representation in congress and until the 23rd amendment was passed, they couldn't vote. Because of these disadvantages, there is a movement to make DC the 51st state in the union. DC has a largely liberal demographic which conflicts with the mostly republican legislature which has blocked attempts to legalize marijuana.
A referendum for statehood has been approved in this November ballot but in order to achieve statehood, congress must approve of it and if it stays republican majority, the measure likely won't be passed. Should DC become the 51st state however, the new state would be called "New Columbia" but federal buildings such as the White House, Capitol Building, and Supreme Court Building would remain part of the federal capital.