Cohomology of (\phi, \Gamma)-modules was studied by Herr, Liu, and Kedlaya-Pottharst-Xiao. Kedlaya-Pottharst-Xiao proved finiteness, duality, and Euler characteristic formula for cohomology of families of (\phi, \Gamma)-modules. In these consecutive talks, we will present an alternative proof of finiteness and duality using analytic geometry introduced by Clausen-Scholze and 6-functor formalism refined by Heyer-Mann. One advantage of this approach is that it applies to families over Banach Qp-algebras that are not topologically of finite type over Qp. In the first talk, we will explain solid locally analytic representations and their geometric interpretation. For later use, we will also introduce the notion of ?solid overconvergent analytic representations?. In the second talk, we will give a proof of finiteness and duality. Key ingredients include a criterion of smoothness proved by Heyer-Mann and Tate-Sen axioms.