In this video Dylan Rambow from NIU discusses the p-adic numbers: what they are, how they are formally defined, and what properties they satisfy.
This is the first video in a series on algebraic number theory. Here are the other two.
Number Fields video: https://youtu.be/DhPYLiuIuLI
Adele rings video: https://youtu.be/S85o4K2_b0A
If you're a graduate student studying math and want to film a video for us, send an email to bygradforgrad@gmail.com.