The seminar presents mathematical ranking theories (PageRank, HodgeRank) and their practical algorithms in various application scenarios. The presenter also provides a literature review on static learning approach for the ranking problem. His study on the area is clearly discussed, e.g. ranking frameworks and adaptive implementations in transaction-based blockchain networks, decentralized spaces. The research is expected to has potential application in reputation-based voting consensus mechanisms, peer-2-peer lending, decentralized finance & banking, decentralized exchanges and prediction markets.