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Explore a theoretical physics lecture examining the relationship between algebraic topology and matter representations in F-theory, where Northeastern researcher Jonathan Mboyo Esole delves into recent discoveries connecting geometric engineering representations to characteristic representations of Dynkin index one between Lie algebras. Learn about the geometric explanation for this phenomenon through K-theory analysis and the study of Lie group topology and their classifying spaces. Understand the physical implications of these mathematical concepts, particularly regarding instanton charges and the classification of Wess-Zumino-Witten terms, as part of the Workshop on Representation Theory, Calabi-Yau Manifolds, and Mirror Symmetry at Harvard CMSA.