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SUMMARY:Shabnam Akhatri (University of Oregon)
DTSTART:20211109T140000Z
DTEND:20211109T160000Z
DTSTAMP:20260422T102349Z
UID:FGC-IPM/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/4/">
 Monogenic cubic rings and Thue equations</a>\nby Shabnam Akhatri (Universi
 ty of Oregon) as part of FGC-HRI-IPM Number Theory Webinars\n\n\nAbstract\
 nLet K be a cubic number field. We give an absolute upper bound for the nu
 mber of monogenic orders which have small index (compared to the discrimin
 ant of K) in the ring of integers of K.  This is done by counting the numb
 er of integral solutions of some cubic Thue equations. This reduction to t
 he 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.\n\nMeeti
 ng ID: 908 611 6889\, \nPasscode: The order of the symmetric group on 9 el
 ements (Type the 6-digit number)\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/4/
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