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Title:
A working differential geometer’s experiences with computational differential geometry
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Abstract:
In this talk I will explain how computational differential geometry has influenced some of my own theoretical work in differential geometry and, in particular, led to proving theorems that I would not have even guessed at without computational input. The geometry in question relates to exceptional holonomy metrics. Time permitting, I will discuss other related problems where I expect that useful insights could be gleaned from further computations and what possible roadblocks there might be.
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