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This week

@ Roger Stevens LT11
Geometry and Analysis

Enric Solé-Farré (University College London and Imperial College London) – The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds

Nearly Kähler manifolds are Riemannian 6-manifolds admitting real Killing spinors. They are the cross-sections of Riemannian cones with holonomy G2. Like the Einstein equation, the nearly Kähler condition has a variational interpretation in terms of volume functionals, first introduced by […]

Next week

@ Roger Stevens LT11
Geometry and Analysis

JeongHyeong Park (Sungkyunkwan University) – Curvature identities and their applications

Is there a curvature identity that holds on any Riemannian manifold? Through the Chern-Gauss-Bonnet theorem, we can derive curvature identities that apply to 4-dimensional or 6-dimensional Riemannian manifolds. As an application of curvature identities, we prove Lichnerowicz’s conjecture in 4 […]