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New Spin(7) Metrics with Generic Aloff–Wallach Spaces as Principal Orbits

组织者

深谷賢治 , 杨琳 , 塞巴斯蒂安·赫勒 , 河井公大朗 , Enric Sole Farre

演讲者

Hanci Chi

时间

2026年03月10日 14:30 至 16:30

地点

A3-4-301

线上

Zoom 293 812 9202 (BIMSA)

摘要

In this talk, we present new families of complete non-compact Spin(7) metrics with distinct topological types. These metrics arise as integral curves of the cohomogeneity one Ricci-flat equations, where the principal orbit is a generic Aloff–Wallach space. The problem can be formulated as a dynamical system on an algebraic surface. By constructing an invariant subset in the compactified phase space, we establish the existence of 1-parameter families of ALC Spin(7) metrics that converge, in a suitable limit, to AC metrics. In particular, this provides topologically distinct resolutions of a single Spin(7) cone, a phenomenon of both mathematical and physical interest.