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Explore a 43-minute lecture examining the relationship between two main approaches for constructing 5-dimensional superconformal field theories (5d SCFTs) in string/M-theory. Delve into the comparison between M-theory on canonical 3-fold singularities and intersecting branes in Type IIB string theory, with particular focus on webs of 5-branes with 7-branes. Learn how recent advances in mirror symmetry and enumerative geometry contribute to constructing M-theory dual non-toric Calabi-Yau 3-fold, extending beyond the well-known toric cases. Understand groundbreaking research conducted in collaboration with Valery Alexeev and Pierrick Bousseau that bridges these theoretical approaches in string theory.
