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Ngoc-Son Duong, Proper Holomorphic Maps from the Complex 2-ball into the 3-dimensional Classical Domain of Type IV

April 27, 2022 @ 4:00 pm - 5:00 pm KST



Ngoc-Son Duong
University of Vienna
In this talk, we will discuss a complete classification of proper holomorphic maps from the unit ball in complex two dimensional space into the Cartan’s classical domain of type IV in complex three
dimensional space that extend smoothly to some boundary point. This classification (which is a consequence of a classification of CR maps from the 3-sphere into the tube over the future light cone) consists of 4 algebraic maps. Among them, two previously known maps are isometric with respect to the canonical Bergman metrics and two other maps give counterexamples to a recent conjecture of Xiao-Yuan for the case of maps from the complex 2-ball. This is a joint work with Michael Reiter.


April 27, 2022
4:00 pm - 5:00 pm KST
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Sungyeon Kim
Ngoc Cuong Nguyen (Dept. of Mathematical Sciences, KAIST)
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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