The Battle Log is accessible by the social menu. It keeps track of all the attacks involving your colonies. When you are attacked the color of the text will be red, when you attack someone it will be green. The most recent attack from someone else can be replayed again.
The coordinates for each colony can be seen independently.
You can gather information from each attack:
The name of the person you attacked.
The time of the attack.
Option to spy. Using this you can also see their coordinates, alliance and avatar.