AbstractWe review general results of N=2 supersymmetric localization on non singular 3-manifolds(closed, oriented). In specific, review the general philosophy and collect some formulae which frequently appear in other contexts involving 3d supersymmetric partition functions. We discuss some generalization to singular manifolds or 3-manifolds with boundary (for example, a half index)
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...