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math.NT2023
On -adic modularity in the -adic Heisenberg algebra
Cameron Franc, Geoffrey Mason
We establish existence theorems for the image of the normalized character map of the -adic Heisenberg algebra taking values in the algebra of Serre -adic modular forms $M…
math.NT2023
Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras
Daniel Barake, Cameron Franc
We study characters of states in -adic vertex operator algebras. In particular, we show that the image of the character map for both the -adic Heisenberg and -adic lattice…