Seminars & Colloquia Calendar

Download as iCal file

Lie Group Quantum Mathematics Seminar

Vertex Operators for Imaginary gl_2-subalgebras in the Monster Lie Algebra

Darlayne Addabbo, University of Arizona

Location:  Hill 705 and online (see below for the Zoom link)
Date & time: Friday, 10 November 2023 at 12:10AM - 1:10PM

The Monster Lie algebra m is a quotient of the physical space of the vertex algebra V=V^{natural} otimes V_{1,1} where V^{natural} is the Moonshine module vertex operator algebra of Frenkel, Lepowsky, and Meurman, and V_{1,1} is the vertex algebra corresponding to the rank 2 even unimodular lattice II_{1,1}. In this talk, I will discuss the construction of vertex algebra elements that project to bases for subalgebras of m isomorphic to gl_2 and corresponding to imaginary simple roots (1,j) for j>0. The M-action on V^{natural}  induces an M-action on the set of gl_2 subalgebras corresponding to a fixed imaginary simple root. I will discuss this action and related open questions. (This talk is based on joint work with Lisa Carbone, Elizabeth Jurisich, Maryam Khaqan, and Scott H. Murray).

Here is the online link: Zoom link

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.