Scandinavian Scotland is associated with several key battles and treaties:

1. Battle of Largs (1263): This was a significant battle between the kingdoms of Norway and Scotland, which took place on the Firth of Clyde near Largs, Scotland. It is considered the last mainland battle between the Scots and Norse and signaled the beginning of the end of Scandinavian influence over Scotland. Battle of Largs - Wikipedia

2. Treaty of Perth (1266): This treaty was signed between the Scots and Norwegians, marking the end of Norse rule in the Western Isles and the Isle of Man. It is associated with the decline of Norse influence in Scotland. Celebrating the Treaty of Perth - Perth Museum & Art Gallery

3. Treaty of Inverness (1312): Ratified between King Robert I of Scotland and representatives of King Hakon V of Norway, this treaty further solidified the Scottish control over territories previously under Norse influence. On this day in 1312 the Treaty of Inverness was ratified ... - Facebook

These events are pivotal in understanding the historical interactions between Scandinavian and Scottish cultures and the eventual establishment of clear boundaries and control over territories.