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FIELD Math:Topology
DATE September 09 (Wed), 2020
TIME 16:00-17:30
PLACE online
SPEAKER 텅런 장
HOST Kim, Sang-hyun
INSTITUTE National University of Singapore
TITLE Weakly positive representations
ABSTRACT

Given a free group acting on hyperbolic space, the classical ping-pong lemma gives sufficient conditions under which the free group action is convex-cocompact. Similarly, in the setting of higher rank Riemannian symmetric spaces, a generalization of the ping-pong lemma (by Dey-Kapovich-Liu) gives sufficient conditions under which a free group action is induced by an Anosov representation. In this talk, I will explain an analog of the generalized Ping-pong lemma that is ``direction specific”. This gives rise to the notion of a weakly positive representation. As a consequence, we find a new method to construct families of primitive stable representations from rank 2 free groups into higher rank Lie groups.
* Please visit https://visgat.cayley.kr

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