Summer Wars

When timid eleventh-grader and math genius Kenji Koiso is asked by older student and secret crush Natsuki to come with her to her family’s Nagano home for a summer job, he agrees without hesitation. Natsuki’s family, the Jinnouchi clan, dates back to the Muromachi era, and they’ve all come together to celebrate the 90th birthday of the spunky matriarch of the family, Sakae. That’s when Kenji discovers his “summer job” is to pretend to be Natsuki’s fiancé and dance with her at the birthday celebration. As Kenji attempts to keep up with Natsuki’s act around her family, he receives a strange math problem on his cell phone which, being a math genius, he can’t resist solving. As it turns out, the solution to the mysterious equation causes a hijacking of the social networking site through which most of the world's social and business traffic flows.

Synopsis from Anime News Network