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Inspired by the work of Geiss, Leclerc and Schr\"oer [Represent. Theory 20,(2016)] we realize the enveloping algebra of the positive part of an affineKac-Moody Lie algebra of Dynkin type $\tilde{\mathsf{C}}_n$ as an convolutionalgebra of constructible functions on the varieties of locally freerepresentations of the corresponding 1-Iwanaga-Gorenstein algebra$H=H_{\mathbb{C}}(C,D,\Omega)$ with minimal symmetrizer. To this end we exploitthe fact that in this situation $H$ is gentle, and and the same time we usegeneralized reflection functors.

A geometric construction of $U(\mathfrak{n})$ for affine Kac-Moody algebras of type $\tilde{\mathsf{C}}_{n}$