Аннотация:
We discuss mock automorphic forms from the point of view of representation theory, that
is, mock automorphic forms obtained from weak harmonic Maaß forms giving rise to nontrivial
$(\mathfrak
g,K)$-cohomology.
We consider the possibility of replacing the ‘holomorphic’ condition
with a “cohomological” one when generalizing to general reductive groups.
Such a candidate for replacement
allows for growing Fourier coefficients, in contrast to automorphic forms under the
Miatello-Wallach conjecture.
In the second part, we provide an overview of the connection
with BPS black hole counts as a physical motivation for studying mock automorphic forms.