Christopher Cashen – Line Patterns in Free Groups

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Date(s) - 30 mars 2012

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I will discuss quasi-isometries of the free group that preserve an equivariant pattern of lines. There is a type of boundary at infinity whose topology determines how flexible such a line pattern is. For sufficiently complicated patterns I use this boundary to define a new metric on the free group with the property that the only pattern preserving quasi-isometries are actually isometries.