On Extensions of supersingular representations of ${\mathrm{SL}}_2({\mathbb{Q}}_p)$

Santosh Nadimpalli

In this note for $p>5$ we calculate the dimensions of ${\mathrm{Ext}}_{{\mathrm{SL}}_2({\mathbb{Q}}_p)}^1(\tau ,\sigma )$ for any two irreducible supersingular representations $\tau$ and $\sigma$ of ${\rm SL}_…