Math Colloquia

1132

Date | Nov 24, 2016 |
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Speaker | 김영주 |

Dept. | 건국대학교 |

Room | 129-101 |

Time | 16:00-17:00 |

Complex hyperbolic 2-space can be seen as the unit ball in C^{2} (the 2-dimensional complex vector space) with the Bergman metric. This is a complex counterpart of the Poincare disk model of real hyperbolic plane.

In this talk, I will introduce the geometry of complex hyperbolic 2-space. We will start with basic definitions such as isometries and the boundary at infinity along with other geometric notions. Then we will move to a research survey regarding the action of discrete groups of isometries.

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