This is the webpage for the reading seminar at the University of California Irvine. The main goal is to understand the main tools in the paper http://annals.math.princeton.edu/2016/183-3/p01.
This will be regularly updated with materials, comments on the lectures and speaker.
We currently intend to cover the following list of topics :
- Overview of the paper: Goals for the reading seminar
- Jiayi Shen - 18th of October "Number fields"
- Fei Xiang- 25th of October "Algebraic geometry in function fields"
- Number field and function field analogies
- Weil conjectures
- Singular cohomology
- Etale Cohomology; Kummer Theory
- Homological Representation Stability
This was the end of the first quarter. Here are some useful links to materials for the above lectures:
We will continue the seminar this winter quarter. Here are the topics leftover:
- Arithmetic Statistics
- Moduli Spaces and Classifying Spaces
- Hurwitz Schemes