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Explore the mathematical connections between gravitational instantons and harmonic maps in this advanced mathematics lecture delivered by Mingyang Li from the Simons Center for Geometry and Physics at the Fields Institute's Geometric Analysis Colloquium. Delve into the intricate relationships between these two fundamental concepts in differential geometry and mathematical physics, examining how gravitational instantons - self-dual solutions to Einstein's field equations - relate to harmonic maps between Riemannian manifolds. Gain insights into the geometric structures underlying these mathematical objects and their applications in theoretical physics, particularly in understanding spacetime geometries and field theories. This presentation is part of the Fields Institute's ongoing colloquium series focusing on geometric analysis and its applications to modern mathematical research.
