Continuous linear endomorphisms of holomorphic functions
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If you have a question about this talk, please contact Tom Adams.
Let $X$ denote an open subset of $\mathbb{C}^{d}$, and $\mathcal{O}$ its sheaf of holomorphic functions. In the 1970’s, Ishimura studied the morphisms of sheaves $P\colon\mathcal{O}\to\mathcal{O}$ of $\mathbb{C}$vector spaces which are continuous, that is the maps $P(U)\colon\mathcal{O}(U)\maps\mathcal{O}(U)$ on the sections are continuous. In this talk, we explain his result, and explore its analogues in the nonArchimedean world.
This talk is part of the Junior Algebra and Number Theory seminar series.
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