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In 2009, Claire Amiot gave a construction of Calabi-Yau structures on Verdierquotients. We sketch how to lift it to the dg setting. We use this constructionas an important step in an outline of the proof of her conjecture on thestructure of 2-Calabi-Yau triangulated categories with a cluster-tiltingobject.

Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture