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Explore the concept of Riemannian logarithm on flag manifolds through the lens of orthogonal alignment in this 23-minute conference talk from GSI. Delve into the mathematical intricacies of flag manifolds and discover a novel approach to understanding their Riemannian geometry. Gain insights into how reframing the Riemannian logarithm as an orthogonal alignment problem can provide new perspectives and potentially simplify complex calculations in differential geometry.