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Applications of the Multisummability theory in Complex Analysis

Vrijeme: 9.3.2022
17:30
Predavaonica: 005
Predavač: Ilya Kossovskyi, Masaryk University, Brno
Naziv: Applications of the Multisummability theory in Complex Analysis
Opis:

The theory of multisummability for solutions of complex differential equations with an isolated singularity is an important achievement in Dynamics of the 20's theory. In a certain sense, it is a theory of how to describe solutions of such differential equations in a "large" sector with the vertex at the singularity, and how to uniquely recognize then a solution by its Taylor series (at the singularity). In this talk, we show unexpected applications of the multisummability theory for classification problems for real submanifolds in complex space.

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