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Learn about curved dg Lie algebra and its role in controlling infinitesimal deformations of logarithmic varieties through this lecture from Columbia University mathematician Simon Felten. Explore why these deformations remain unobstructed for logarithmic Calabi-Yau varieties and discover how this unobstructedness enables the construction of smoothings of normal crossing spaces that may not be d-semistable. Part one of a two-lecture series delves into the mathematical foundations and applications of global logarithmic deformation theory.
