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International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
October 31, 2022 15:00–15:50, Moscow, Online
 


Conformality in the sense of Gromov and holomorphicity

V. A. Zorich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Video records:
MP4 187.1 Mb
Supplementary materials:
Adobe PDF 107.1 Kb

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Abstract: M. Gromov extended the notion of conformal mapping, making it applicable for mappings of spaces of different dimensions. For example, any entire holomorphic function $f\colon{\mathbb C}^n \to {\mathbb C}$ defines a mapping conformal in the sense of Gromov. We will recall the required definition and note that not every conformal mapping in the sense of Gromov is a holomorphic one. We will give a criterion for its holomorphicity and discuss some related new concepts and facts.

Supplementary materials: zorich.pdf (107.1 Kb)

Website: https://us06web.zoom.us/j/88002234162?pwd=dG9MbmZCbG9WVTVGUElNVW03VEM2Zz09

* ID: 880 0223 4162. Password: 712898
 
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