Isomonodromic differential equations and differential categories
نویسندگان
چکیده
منابع مشابه
Isomonodromic differential equations and differential categories
We study isomonodromicity of systems of parameterized linear differential equations and related conjugacy properties of linear differential algebraic groups by means of differential categories. We prove that isomonodromicity is equivalent to isomonodromicity with respect to each parameter separately under a filtered-linearly closed assumption on the field of functions of parameters. Our result ...
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Following work of Ehrhard and Regnier, we introduce the notion of a differential category: an additive symmetric monoidal category with a comonad (a " coalgebra modality ") and a differential combinator, satisfying a number of coherence conditions. In such a category, one should imagine the morphisms in the base category as being linear maps and the morphisms in the coKleisli category as being ...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2014
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2013.11.001