Umbral Moonshine Modules


Duncan, J. (2015). Umbral Moonshine Modules. Perimeter Institute. https://pirsa.org/15040123


Duncan, John. Umbral Moonshine Modules. Perimeter Institute, Apr. 14, 2015, https://pirsa.org/15040123


          @misc{ pirsa_PIRSA:15040123,
            doi = {10.48660/15040123},
            url = {https://pirsa.org/15040123},
            author = {Duncan, John},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Umbral Moonshine Modules},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {apr},
            note = {PIRSA:15040123 see, \url{https://pirsa.org}}

John Duncan Case Western Reserve University


Umbral moonshine attaches mock modular forms and meromorphic Jacobi forms to automorphisms of the Niemeier lattices. It is now known that this association can be recovered from specific, graded modules for the Niemeier lattice automorphism groups. We will describe recent progress in a program to realize these modules explicitly.