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Seminar on Complex Analysis (Gonchar Seminar)
November 2, 2015 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


The asymptotic behavior of modulus of Grötschís and Teichmüllerís rings in the space of a very large dimension

V. A. Zorich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: In the geometric theory of functions, especially in the theory of spatial quasi-conformal mappings, the role of a very useful tool play Grötschís and Teichmüllerís rings (capacitors or condensers). We will discuss several open problems of the theory which stimulate the research of the asymptotic behavior of the conformal capacity of Grötschís and Teichmüllerís capacitors on the growing dimension of the space, and we will describe this asymptotic behavior.

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