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Geometric Group Theory

GeoGT Session #1.3

Subevent of GeoGT Session #1

Heritage Hall Building 125

Times: 2026 Mar 11 from 11:10AM to 11:30AM (Central Time (US & Canada))

Boundedness of homeomorphism groups of portable manifolds

Megha Bhatt <mbhat@gradcenter.cuny.edu>, CUNY Graduate Center

Abstract:

A group is said to be bounded if it has finite diameter with respect to every bi-invariant metric. This is a strong rigidity property for large groups, limiting the large-scale geometry of the group and the types of geometric actions it can admit. Building on ideas of Burago, Ivanov, and Polterovich, Rybicki proved that the identity component of the homeomorphism group of a portable manifold is bounded. In this talk, I will present a simplified proof of this result by constructing a uniform normal generator for the group.

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