This lecture covers advanced query operators, focusing on various join techniques and their processing methods. It begins with a recap of simple nested loops joins, highlighting their inefficiencies and costs. The instructor explains index nested loops joins, emphasizing the importance of having an index on the join attribute to optimize performance. The discussion progresses to block nested loops joins, which utilize available memory more effectively. The lecture also introduces hash joins, including one-pass and two-pass hash join algorithms, detailing their costs and scenarios for use. The hybrid hash join algorithm is presented as a flexible solution that adapts based on memory availability. The lecture concludes with sort-merge joins, explaining their reliance on external sorting and the conditions under which they are most effective. Throughout, the instructor emphasizes the significance of query optimization and the impact of buffer management on performance, providing a comprehensive overview of query processing techniques in relational databases.