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Explore a comprehensive theory of fluctuations in stochastic homogenization in this 54-minute lecture by Antoine Gloria, presented at the Hausdorff Center for Mathematics. Delve into the collaborative work with M. Duerinckx and F. Otto, focusing on the crucial concept of the homogenization commutator. Discover how this key quantity drives fluctuations of all relevant elements in stochastic homogenization in a path-wise manner. Gain insights from this presentation, part of the Hausdorff Trimester Program Multiscale Problems: Workshop on Numerical Inverse and Stochastic Homogenization.