DMS Graduate Student Seminar

Time: Mar 31, 2021 (03:00 PM)
Location: ZOOM


Speaker: Dr. Peter Johnson

Title: Frobenius problems in arbitrary rings


Abstract:  Here is a 19th century theorem due to Sylvester, and to Frobenius, and probably to others:  If A is a finite set of non-negative integers with greatest common divisor 1, then every sufficiently large positive integer is representable as a linear combination of the elements of A with non-negative integer coefficients.  In this case, the Frobenius problem associated with A is to find the largest integer not so representable. We will see that there is a way to reframe that 19th century theorem so that analogous theorems hold in some rings other than the integers, and analogous problems can be posed in those rings.
Yanzhao Cao is inviting you to a scheduled Auburn University Zoom e-meeting. If you're a new participant, we have a quick start guide here:
Topic: Graduate Student Seminar 
Time: Mar 31, 2021 03:00 PM Central Time (US and Canada) 
    Every 7 days, until Apr 28, 2021, 5 occurrence(s)
    Mar 31, 2021 03:00 PM
    Apr 7, 2021 03:00 PM
    Apr 14, 2021 03:00 PM
    Apr 21, 2021 03:00 PM
    Apr 28, 2021 03:00 PM
    Please download and import the following iCalendar (.ics) files to your calendar system.
    Password: math2021
Connect using Computer/Device audio if possible.
Or Telephone: Meeting ID: 810 5875 6442
    Dial: +1 312 626 6799 (US Toll) 
        or +1 646 876 9923 (US Toll)


Or an H.323/SIP room system:
    H.323: (US West) or (US East) 
    Meeting ID: 810 5875 6442
    Password: 96659070
    Password: 96659070