Geometric Group Theory Seminar - Bena Tshishiku

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October 9, 2014
3:00 pm - 4:00 pm
CH 240

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2014-10-09 15:00:00 2014-10-09 16:00:00 Geometric Group Theory Seminar - Bena Tshishiku Title:  Point-Pushing and Nielsen RealizationSpeaker:  Bena Tshishiku, University of ChicagoAbstract:  Let M be a manifold with mapping class group Mod(M). Any subgroup G < Mod(M) can be represented by a collection of diffeomorphisms that form a group up to isotopy. The Nielsen realization problem asks whether or not G can be represented as an honest subgroup of diffeomorphisms. We will discuss a special case of this problem when M is a locally symmetric manifold and G ≃ π1(M) is the "point-pushing" subgroup. This generalizes work of Bestvina-Church-Souto. CH 240 America/New_York public

Title:  Point-Pushing and Nielsen Realization

Speaker:  Bena Tshishiku, University of Chicago

Abstract:  Let M be a manifold with mapping class group Mod(M). Any subgroup G < Mod(M) can be represented by a collection of diffeomorphisms that form a group up to isotopy. The Nielsen realization problem asks whether or not G can be represented as an honest subgroup of diffeomorphisms. We will discuss a special case of this problem when M is a locally symmetric manifold and G ≃ π1(M) is the "point-pushing" subgroup. This generalizes work of Bestvina-Church-Souto.

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