This document summarizes the activities and outcomes of the Long Program “Non-commutative Optimal Transport,” which was held at the Institute of Pure and Applied Mathematics (IPAM) from March 10 to June 13, 2025. It also briefly explores some of the current open questions and future […]
The quest to understand intelligence is one of the great scientific endeavors, on par with quests to understand the origins of life or the foundations of the physical world. Several scientific communities have made significant progress on this quest. Relevant fields like animal cognition, cognitive […]
This document summarizes the activities and outcomes of the Long Program “Geometry, Statistical Mechanics, and Integrability,” held at the Institute of Pure and Applied Mathematics (IPAM) from March 11 to June 14, 2024. We also briefly explore current open questions and future directions in the […]
This document summarizes outcomes, conclusions, and suggestions of the Long Program “Mathematical Challenges and Opportunities for Autonomous Vehicles”, organized by the Institute of Pure and Applied Mathematics (IPAM) from September 14 to December 18, 2020. Due to the COVID-19 pandemic, the long program was hosted […]