Lethbridge Number Theory and Combinatorics Seminar: John Voight
- Date: 03/06/2023
- Time: 11:00
Lecturer(s):
John Voight, Dartmouth College
Location:
University of Lethbridge
Topic:
A norm refinement of Bezout’s Lemma and quaternion orders
Description:
Given coprime integers $a,b$, the classical identity of Bezout provides
integers $u,v$ such that $au-bv = 1$. We consider refinements to this
identity, where we ask that $u,v$ are norms from a quadratic extension.
We then find ourselves counting optimal embeddings of a quadratic
order in a quaternion order, for which we give explicit formulas in
many cases. This is joint work with Donald Cartwright and Xavier
Roulleau.
Other Information:
Time: 11:00am Pacific Time
Online Via Zoom:
https://uleth.zoom.us/meeting/register/tJcpc--rjwsGtE7inVJcDzcjleYhbzaso14