NEW YORK, Dec 1 (Reuters) - The euro rose to session highs against the dollar in mid-afternoon Thursday after French President Francois Hollande said he would not seek a second term in office, a surprise move seen paving an easier path for conservative Francois Fillon to win the post in 2017. single currency was last up 0.6 percent at $1.0647, pulling further away from $1.0515 set a week ago which was its lowest since March 2015, according to Reuters data. EUR=