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Explore the mathematical theory of ALC G2-manifolds in this 56-minute conference talk delivered by Lorenzo Foscolo at BIMSA's ICBS2025 conference. Delve into the geometric properties and structural characteristics of asymptotically locally conical G2-manifolds, examining their role in differential geometry and mathematical physics. Learn about the construction methods, classification results, and analytical techniques used to study these seven-dimensional Riemannian manifolds with special holonomy group G2. Discover the connections between ALC G2-manifolds and other areas of mathematics, including algebraic geometry, topology, and string theory applications.
