Groups as Twisted Products of Spheres
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Rebecca Field, Visiting Scholar, Reed College
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Abstract:
In this talk, I will explain the shape of the group of n x n invertible
complex matrices. It will turn out that this is almost a product of a
circle and a 3-sphere and a 5-sphere etc.. The reason for this and the
precise ways it differs from a product summarizes much contemporary
research in algebraic topology.
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