Abstract:In this presentation, we will delve into Davenport’s groundbreaking work on calculating the average class number for all real quadratic fields. The concept of class numbers plays a crucial role in algebraic number theory, particularly in the study of quadratic fields. By examining the distribution of class numbers across real quadratic fields, Davenport’s research sheds light on the...
AbstractThe p-curvature is a fundamental invariant for connections in characteristic p. I will explain the definition and basic properties