Description: This class will explore the different descriptions of p-adic numbers. p-adic numbers appear throughout mathematics, and we will focus on their applications to number theory and geometry. Each class will begin with a short lecture followed by exercises. In the exercise session small groups will work on problems and examples related to the lecture. There will be some problems requiring minimal prerequistes, and others that require a decent amount of algebra. As such, this seminar will be accessible to a wide range of students.
Optional Textbook: p-adic Numbers, Fernando Gouvea