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Taipei Postdoc Seminar
11:00 - 12:30, October 26, 2016 (Wednesday)
Room 638, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 638室)
An Introduction to Hyperbolic Groups
Yu-Yen Chien (NCTS)

Gromov introduced the notion of hyperbolic groups in 1987, and the study of hyperbolic groups has been thriving since then. Roughly speaking, a hyperbolic group is a finitely generated group of which the Cayley graph has certain hyperbolic feature on a large scale. In this talk, I will introduce the large scale versions of some geometric notions, such as isometry, convexity, and hyperbolicity, and give examples, non-examples, and properties of hyperbolic groups. If time allows, I will talk about some applications of hyperbolic groups to low-dimensional topology.


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