Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra
Fumitoshi Sato, KIAS

P. Deligne, V. Drinfeld, D. Quillen and M. Kontsevich proposed that "in characteristic zero every deformation problem is controlled by a differential graded Lie algebra". I will explain what this means more explicitly. As examples, I will explain the cases of compact complex manifold and proper Deligne-Mumford stack.