Adolfo Guillot (Instituto de Matemáticas-UNAM, Mexico)
Single-valued solutions of complex differential equations
Abstract: The success of the theory of elliptic functions in the nineteenth century motivated the quest for other special functions which were solutions of algebraic differential equations in the complex domain. On its turn, this led to the problem of understanding those differential equations that do not have multivalued solutions. We will talk about some instances of this problem for the autonomous differential equations given by holomorphic vector fields on complex manifolds, and particularly of some results in the case of surfaces.
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