IMF director Christine Lagarde’s sons told her to join Facebook. We learned this and more during a conversation between Lagarde and Sandberg at Davos.

Dubbed “the trillion dollar woman,” IMF director Christine Lagarde covers this week’s issue of Newsweek — and she’s looking great.

When it comes to global economics, there’s one woman we trust more than almost anyone else: IMF director Christine Lagarde. As usual, Lagarde keep it short, simple and incredibly clear when it comes to the troubled European economic climate: “It would be useful for Europeans to speak with a single voice and announce a simple and detailed timetable. Investors are waiting for it. Grand principles don’t impress,” she said.

“I would say that in general it is easier in France than in the US to be a working mother – there is not the same kindergarten system as in France. I am happy to say that at the Fund there is a crèche [daycare center]– if you come to the Fund early in the morning, you will see babies, lots of babies in the foyer, being brought in!” Christine Lagarde, director of the International Monetary Fund told the FT.

When Christine Lagarde took over as head of the IMF this summer following Dominique Strauss-Kahn’s arrest and sex scandal, she had a huge role to fill. Not only was she stepping into a new job, but one in which she is tasked with fixing the world economy in the middle of a financial crisis. But she told 60 Minutes’ Lara Logan last night that she remains “desperately optimistic.”

Oh, come on. Turns out Christine Lagarde, the new chief of the IMF, is facing criminal allegations. What’s going on, IMF heads?

The New York Times says Lagarde is accused of abusing her power when she was the finance minister of France, by authorizing a $580 million payout to the former head of Adidas. That guy, Bernard Tapie, whom the Times describes as “flamboyant,” is a close friend of French President Nicolas Sarkozy. In 2007, Tapie claimed the Crédit Lyonnais cheated him out of money when the French bank helped broker Tapie’s sale of his Adidas stake.