Abstract: Grothendieck duality for schemes can be viewed as a generalization of Serre duality to quasi-coherent sheaves. Since Serre duality also exists in analytic geometry, it is natural to ask if there is also an analytic version of Grothendieck duality. I will explain how to formulate and prove Grothendieck duality in rigid-analytic geometry, including an identification of the dualizing complex with volume forms. The main innovation of our approach lies in the underlying functional analysis, which uses the Ind-category of Banach spaces rather than condensed mathematics. Nevertheless, our overall strategy is strongly inspired by that of Clausen—Scholze in the complex setting.