We are beginning a series of lectures on the Carlitz module functor in the setting of function field arithmetic. Here Tim All gives an introduction to the Carlitz module, comparing it with the classical multiplicative group functor arising in the study of number fields. This lecture follows Rosen’s exposition on the subject, but there are many good sources that I hope to mention in later posts.
Tim has provided the beautiful slide below that should be downloaded and used to follow along with his lecture. Tim’s Slides: Lecture One