ULethbridge Number Theory and Combinatorics Seminar: Kelly Emmrich
- Date: 02/13/2023
Lecturer(s):
Kelly Emmrich (Colorado State University)
Location:
University of Lethbridge
Topic:
The principal Chebotarev density theorem
Description:
Let \(K/k\) be a finite Galois extension. We define a principal version of the Chebotarev density theorem which represents the density of prime ideals of k that factor into a product of principal prime ideals in \(K\). We find explicit equations to express the principal density in terms of the invariants of \(K/k\) and give an effective bound which can be used to verify the non-splitting of the Hilbert exact sequence.
Other Information:
Time: 11:00am Pacific / 12:00pm Mountain
Hosted By ULethbridge via Zoom:
https://uleth.zoom.us/meeting/register/tJcpc--qrjwsGtE7inVJcDzcjleYhbzaso14