public sealed class FileGeodatabaseConnectionPath : Connector 

{
  await QueuedTask.Run(() =>
  {
    // Create a FileGeodatabaseConnectionPath with the name of the file geodatabase you wish to create
    FileGeodatabaseConnectionPath fileGeodatabaseConnectionPath =
      new FileGeodatabaseConnectionPath(new Uri(@"C:\Path-To-File-Geodatabase\YourName.gdb"));

    // Create and use the file geodatabase
    using (Geodatabase geodatabase =
           SchemaBuilder.CreateGeodatabase(fileGeodatabaseConnectionPath))
    {
      // Create additional schema here
    }
  });
}

{
  await QueuedTask.Run(() =>
  {
    // Create a FileGeodatabaseConnectionPath with the name of the file geodatabase you wish to delete
    FileGeodatabaseConnectionPath fileGeodatabaseConnectionPath =
      new FileGeodatabaseConnectionPath(new Uri(@"C:\Path-To-File-Geodatabase\YourName.gdb"));

    // Delete the file geodatabase
    SchemaBuilder.DeleteGeodatabase(fileGeodatabaseConnectionPath);
  });
}