Short answers, pulled from the story.
Peter I of Russia, Augustus II the Strong, and Frederick IV of Denmark-Norway initiated the conflict through a secret meeting in Rawa Ruska during the autumn of 1698. The war officially began in early 1700 when these three nations launched simultaneous invasions against Sweden.
Swedish forces under Charles XII achieved a crushing victory over Peter I's army despite being outnumbered. This battle demonstrated how superior training and discipline could overcome numerical disadvantages and became legendary in military history.
Peter I established Saint Petersburg in 1703 as a new capital and gateway to the Baltic Sea. Russian victories at Erastfer and Nöteborg gave them control over Ingria which allowed for this development.
The final peace came with the Treaty of Nystad concluded on the 30th of August 1721 after Charles XII died during the Siege of Fredriksten on the 30th of November 1718. Finland returned to Sweden while Russia gained Estonia Livonia Ingria Kexholm and portions of Karelia from the tsardom.