|Date: Monday, September 18, 2017
Location: 4088 East Hall (3:10 PM to 4:20 PM)
Title: An overview of the theory of Drinfeld modules (joint with Arithmetic Geometry learning seminar; note special start time)
Abstract: Drinfeld modules (originally called elliptic modules) were introduced by Drinfeld in the early 1970s. His construction evolved from trying to extend the well-known analogy between number fields and function fields to the part of number theory that deals with modular forms and modular curves. The theory of Drinfeld modules and their generalizations soon turned out to be a powerful tool that allowed successful resolution of various problems in the arithmetic of function fields, such as global and local Langlands conjectures, the Stark conjectures and explicit class field theory.In this talk I will review some of the aspects of the theory of Drinfeld modules, with many explicit examples. The talk should be accessible to graduate students.
Speaker: Mihran Papikian
Institution: Penn State
Event Organizer: Kartik Prasanna