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Explore a detailed lecture on global logarithmic deformation theory where a curved dg Lie algebra's role in controlling infinitesimal deformations of logarithmic varieties is examined in depth. Learn why these deformations remain unobstructed specifically for logarithmic Calabi-Yau varieties, and discover how this unobstructedness property enables the construction of smoothings for normal crossing spaces that may not necessarily be d-semistable. Part of a two-lecture series delivered at Columbia University, this 71-minute mathematical exploration delves into advanced concepts in algebraic geometry and deformation theory.
