Deepika Padukone never set out to take India to the world. She wanted the world to come to India. As the most popular actress in the world’s most populous country, she’s often asked if she’s going to move to Hollywood. “My mission has always been to make a global impact while still being rooted in my country,” she says on her home turf in Mumbai one humid morning in April, while on a break from shooting India’s first aerial-action film, Fighter.