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Explore a detailed seminar talk where Nikolay Grantcharov delves into the intricacies of non-abelian Poincaré duality, examining the relationship between l-adic homology of BunG and the Beilinson-Drinfeld Grassmannian. Learn about the fundamental concepts behind this theorem and discover a new, simplified proof by Drinfeld that demonstrates how the space of rational maps from a curve X to a semi-simple group G exhibits homological contractibility. Delivered on February 14th, the presentation offers a thorough mathematical exploration of these advanced concepts in geometric representation theory.