Explore cutting-edge research in online algorithms through this 38-minute conference talk from STOC 2020, presented by the Association for Computing Machinery (ACM). Delve into advanced topics such as caching with time windows, online vector balancing, and primal-dual matching. Learn about the latest developments in standard caching, offline vector balancing, and the k-server problem. Gain insights into constant competitive ratios and their proofs. The talk concludes with audience questions and a preview of the next presentation, offering a comprehensive overview of current trends and challenges in the field of online algorithms.