Storm is a distributed real-time computation system for processing streams of data. It provides guarantees of message processing and is fault tolerant, fast, scalable, and allows for coding in multiple languages. Trident is a higher-level abstraction built on Storm that provides batch processing, state management, and exactly-once processing semantics. The document demonstrates how to use Storm and Trident to analyze Twitter data streams to compute gender counts over time by filtering tweets, extracting names, querying a database for genders, grouping by gender, and aggregating counts. Debugging Storm applications can be challenging due to its distributed nature.