Appearance of the Kashiwara-Saito singularity in the representation theory of $p$-adic ${\mathrm{GL}}_{16}$

Clifton Cunningham, Andrew Fiori, Nicole Kitt

In 1993 David Vogan proposed a basis for the vector space of stable distributions on $p$-adic groups using the microlocal geometry of moduli spaces of Langlands parameters. In the…