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Seminar
FIELD Math:Topology
DATE February 18 (Thu), 2021
TIME 11:00-13:00
PLACE Online
SPEAKER Ye, Shengkui
HOST Kim, Sang-hyun
INSTITUTE NYU-Shanghai
TITLE Length functions on Groups and applications
ABSTRACT A length function l on a group G is a (nonnegative) real-valued function that is conjugate invariant, homogenous, and subadditive for commuting pairs. Such length functions exist in many branches of mathematics, mainly as stable word lengths, stable norms, smooth measure-theoretic entropy, translation lengths on CAT(0) spaces and Gromov delta-hyperbolic spaces, stable norms of quasi-cocycles, rotation numbers of circle homeomorphisms, smooth entropy, dynamical degrees of birational maps and so on. We study length functions on Lie groups, Gromov hyperbolic groups, arithmetic subgroups, matrix groups over rings, and Cremona groups. As applications, we prove rigidity results on group homomorphisms.
* To join, please visit
https://gas.cayley.kr
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