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Explore blockchain-based payment channel networks and their optimization challenges in this technical seminar by Prof. Bruce Hajek from the University of Illinois at Urbana-Champaign. Learn about the fundamental limitations of payment channels that prevent indefinite net money flow in either direction and understand why payment channel networks cannot serve transaction requests arbitrarily over extended periods. Discover algorithms for pricing and routing in payment channel networks and examine how they contrast with payment bridges. Delve into DEBT control, an innovative joint routing and flow-control protocol designed to guide payment channel networks toward optimal operating states for steady-state demand scenarios. Gain insights from research published in IEEE/ACM Transactions on Networking that addresses critical challenges in blockchain overlay mechanisms for more efficient transactions compared to direct blockchain usage. The presentation covers theoretical foundations, practical algorithms, and optimization strategies essential for understanding modern payment channel network architectures and their operational constraints.