Arithmetic statistics of function fields via Hurwitz spaces

These are notes taken from the learning seminar on the arithmetic statistics of function fields via Hurwitz spaces at Berkeley in fall 2019. I plan to write up notes weekly, and will upload them to my website here: http://web.stanford.edu/ lt691/. Each lecture will be labelled with the speaker for that week. Any errors in these notes, however, are mine; if you find any, whether mathematical or typographical, please email and let me know.