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Explore the intricacies of algebraic geometry in this conference talk by Benoit Claudon from Rennes. Delve into the Miyaoka-Yau Equality for Pairs, examining a result that fully characterizes ball quotients in terms of Chern classes for klt pairs. Gain insights into the collaborative work with P. Graf and H. Guenancia as the speaker guides you through key concepts including singularities, standard coefficients, and KLT pairs. Follow the logical progression from introduction to proof, enhancing your understanding of this complex mathematical topic over the course of 65 minutes.