The paper conjectures a connection between Liouville theory conformal blocks and correlation functions on a Riemann surface and the Nekrasov partition function of certain $\mathcal{N}=2$ superconformal field theories (SCFTs) in four dimensions. The conjecture is tested at genus 0 and 1. The authors show that the Nekrasov partition function of these SCFTs, when decoupling the $U(1)$ part, coincides with the Virasoro conformal blocks for the corresponding Riemann surfaces. They also propose that the one-loop part of the Nekrasov partition function reproduces the product of DOZZ three-point functions of Liouville theory, leading to the conclusion that the absolute value squared of the full Nekrasov partition function integrated over the vevs is a Liouville correlator. The paper discusses the implications of this correspondence, including the quantization of the Seiberg-Witten curve and the insertion of the energy momentum tensor operator. Finally, it lists several open problems and directions for further research.The paper conjectures a connection between Liouville theory conformal blocks and correlation functions on a Riemann surface and the Nekrasov partition function of certain $\mathcal{N}=2$ superconformal field theories (SCFTs) in four dimensions. The conjecture is tested at genus 0 and 1. The authors show that the Nekrasov partition function of these SCFTs, when decoupling the $U(1)$ part, coincides with the Virasoro conformal blocks for the corresponding Riemann surfaces. They also propose that the one-loop part of the Nekrasov partition function reproduces the product of DOZZ three-point functions of Liouville theory, leading to the conclusion that the absolute value squared of the full Nekrasov partition function integrated over the vevs is a Liouville correlator. The paper discusses the implications of this correspondence, including the quantization of the Seiberg-Witten curve and the insertion of the energy momentum tensor operator. Finally, it lists several open problems and directions for further research.