Number Theory Seminar
Silas Johnson
Northwestern
Counting Functions, Mass Formulas, and Heuristics for Number Fields
Abstract: The Malle-Bhargava heuristics give asymptotic predictions for the density of number fields of bounded
discriminant with a given Galois group G, in terms of the number of G-extensions of p-adic fields $\mathbb Q_p$.
These heuristics can also be applied when the discriminant is replaced by any of a wide variety of other
“counting functions”. Motivated by field-counting heuristics, I'll introduce the idea of such alternate counting
functions and how to build them, and discuss results on global mass formulas for alternate counting functions.
Tuesday April 11, 2017 at 11:00 AM in SEO 612