Algebra Seminar: Dr Madeline Dawsey | Department of Mathematics

Covid-19 —UNT is offering a mix of in-person, partially in-person, and online/remote course deliveries for Fall 2020. Stay up to date on UNT's response, including return to campus plans.

UNT Banner

Algebra Seminar: Dr Madeline Dawsey

Event Information
Event Location: 
ZOOM meeting
Event Date: 
Friday, October 16, 2020 - 1:00pm

Dr Madeline Dawsey, University of Texas at Tyler

Title: Monstrous moonshine and its variants

Abstract: The most famous example of a connection between representation theory and number theory is the Monstrous Moonshine Conjecture, proven by 1998 Fields Medalist Richard Borcherds, which asserts that the character dimensions of the Monster group, the largest of the sporadic finite simple groups, are dictated by the Fourier expansions of a distinguished set of modular functions called McKay-Thompson series. Recently, it was established by DeHority, Gonzalez, Vafa, and Van Peski that a weak form of moonshine holds for every finite group. Weak moonshine only relies on character tables, which are not isomorphism class invariants, and so non-isomorphic groups can have the same McKay-Thompson series. In joint work with Ken Ono, we address this issue by defining the notion of higher width moonshine. We prove that complete width 3 weak moonshine determines groups of fixed order up to isomorphism.

Thinking about UNT?

It's easy to apply online. Join us and discover why we're the choice of over 38,000 students.

Apply now