Singularities and vanishing cycles in number theory over function fields
Number Theory
2020-06-01 v2 Algebraic Geometry
Algebraic Topology
Abstract
This article is an overview of the vanishing cycles method in number theory over function fields. We first explain how this works in detail in a toy example, and then give three examples which are relevant to current research. The focus will be a general explanation of which sorts of problems this method can be applied to.
Keywords
Cite
@article{arxiv.2005.09693,
title = {Singularities and vanishing cycles in number theory over function fields},
author = {Will Sawin},
journal= {arXiv preprint arXiv:2005.09693},
year = {2020}
}
Comments
34 pages, to appear in PIMS Workshop on Arithmetic Topology conference proceedings