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Hyperbolic structures on wreath products

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Monday, October 29, 2018
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3:15 pm - 4:15 pm
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Sahana Balasubramanya (UNC Greensboro)
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Geometry/topology Seminar

The poset of hyperbolic structures on a group G is still very far from being understood and several questions remain unanswered. In this talk, I will speak about some new results that describe hyperbolic structures on the wreath product Gwr Z, for any group G. As a consequence, I answer two open questions regarding quasi-parabolic structures: I will give an example of a group G with an uncountable chain of quasi-parabolic structures and give examples of groups that have finitely many quasi-parabolic structures.