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Margulis Lemma and RCD spaces

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Sergio Zamora Barrera
Penn State University/MPIM
Thu, 01/06/2023 - 15:00 - 16:00
MPIM Lecture Hall
Parent event: 

Contact: Christian Kaiser (kaiser @

The classic Margulis Lemma states that in a hyperbolic manifold, the subgroup of the fundamental group generated by small loops around a certain point is virtually abelian.
I will present some generalizations of this result, includingrecent work (with Qin Deng, Jaime Santos, and Xinrui Zhao) where we include RCD spaces, a non-smooth analogue of manifolds with a lower bound on the Ricci curvature.



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