Deep links are URLs that take users directly to specific content in your app. You can set up deep links by adding intent filters and extracting data from incoming intents to drive users to the right screen in your app.
Deep Learning is a sub-field of machine learning where multi-layer artificial neural networks are used for learning purpose. Deep Learning has found lots of great implementations, e.g. Speech Recognition, Subtitles on Youtube, Amazon recommendation, and so on. For additional information there is a dedicated topic to deep-learning.