Five not-so-easy pieces:open problems about vertex rings
Abstract
We present five open problems in the theory of vertex rings. They cover a variety of different areas of research where vertex rings have been, or are threatening to be, relevant. They have also been chosen because I personally find them interesting, and because I think each of them has a chance (the title of the paper notwithstanding!) of being solved. In each case we give some explanatory background and motivation, sometimes including proofs of special cases. Beyond vertex rings per se, the topics covered include connections to real Lie theory, formal group laws, modular linear differential equations, Pierce bundles, and genus 2 Siegel modular forms and the Moonshine Module.
Cite
@article{arxiv.1812.06206,
title = {Five not-so-easy pieces:open problems about vertex rings},
author = {Geoffrey Mason},
journal= {arXiv preprint arXiv:1812.06206},
year = {2018}
}
Comments
To appear in the Proceedings of the International Conference on Vertex Operator Algebras, Number Theory, and Related Topics, held at Sac. State Ca., Contemp.\ Math. AMS