Model theory and the distribution of orders in number fields

12 February 2015
17:30
Jamshid Derakhshan
Abstract
Recently Kaplan, Marcinek, and Takloo-Bighash have proved an asymptotic formula for the number of orders of bounded discriminant  in a given quintic number field. An essential ingredient in their poof is a p-adic volume formula.  I will present joint results with Ramin Takloo Bighash on model-theoretic generalizations of the volume formulas and discuss connections to number theory.