NTS ABSTRACTSpring2023

Feb 02

Asvin Gothandaraman

A p-adic Chebotarev density theorem and functional equation

We (Asvin G, Yifan Wei and John Yin) define a notion of splitting density for "nice" generically finite maps over p-adic fields and show that these densities satisfy a functional equation. As a consequence, we prove a conjecture about factorization probabilities of Bhargava, Cremona, Fisher, Gajovic. Zoom ID: 93014934562 Password: The order of A9 (the alternating group of 9 elements)

Feb 09

MSRI/SLMath workshop

NTS of the week is cancelled as most of the number theory group are attending the MSRI/SLMath introductory workshop on Diophantine geometry, see https://www.msri.org/workshops/977