The Neo4j team has hosted several digital events, including Connections, webinars, and live demos, with a focus on showcasing the capabilities of their graph database platform. These events have covered various topics such as Graphs4Good, product updates like Neo4j 4.4 and Bloom 2.0, and use cases like fraud detection, supply chain optimization, and knowledge graphs for skills discovery. The live demo series features eight different topics, each offering a 30-minute introduction to the graph data platform and its applications in various industries.