If not for a global pandemic, a bunch of mathematicians would have gathered in Germany to talk about what’s going on in the geometry of arithmetic statistics, which I would roughly describe as “methods from arithmetic geometry brought to bear on probabilistic questions about arithmetic objects”. What does the maximal unramified extension of a random number field look like? What is the probability that a random elliptic curve has a 2-Selmer group of rank 100? How do you count points on a stack? I’ll give a survey of what’s happening in questions in this area, trying to emphasize open questions.
This video is part of the Number Theory Web Seminar series.
