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Looijenga surfaces are log Calabi-Yau surfaces, thus log analogues of K3 surfaces. We have a classical Torelli Theorem for K3 surfaces which says that a K3 surface is essentially determined by its cohomological information, i.e. two K3 surfaces are isomorphic if there is an isomorphism between cohomological groups preserving certain structures. I will present a result of Gross-Hacking-Keel showing that Looijenga surfaces satisfy a similar Torelli Theorem.