This interdisciplinary workshop is organized to explore the scientific issues, challenges, and opportunities for supercomputing beyond the scaling limits of Moore's Law, with the ultimate goal of keeping supercomputing at the forefront of computing technologies beyond the physical and conceptual limits of current systems. Continuing progress of supercomputing beyond the scaling limits of Moore's Law is likely to require a comprehensive re-thinking of technologies, ranging from innovative materials and devices, circuits, system architectures, programming systems, system software, and applications. The workshop is designed to foster interdisciplinary dialog across the necessary spectrum of stakeholders: applications, algorithms, software, and hardware. Motivating workshop questions will include the following. "What technologies might prevail in the Post Moore's Era?" Experts from academia, government, and industry in the fields of computational science, mathematics, engineering, and computer science will have the opportunity to participate in the workshop as a presenter, panelist, or audience member. Learn more at https://sites.google.com/site/2016pmes/