IPM Calendar 
Wednesday 8 December 2021   Today  
Events for day: Tuesday 09 November 2021    
           17:30 - 19:30     Number Theory Webinar
Monogenic Cubic Rings and Thue Equations

School
MATHEMATICS

Let K be a cubic number field. We give an absolute upper bound for the number of monogenic orders which have small index (compared to the discriminant of K) in the ring of integers of K. This is done by counting the number of integral solutions of some cubic Thue equations. This reduction to the resolution of Thue equations will also allow us to count the number of monogenic orders with a fixed index in the ring of integers of K.


Zoom link:

https://us06web.zoom.us/j/9086116889?pwd=WGRFOGZWZ1FOMXJrcWpJMWFqUFIvQT09


Meeting ID: 908 611 6889

Passcode: 362880