A combinatorial solution to M{\oe}glin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $O(N)$

Abstract

We develop a general procedure to study the combinatorial structure of Arthur packets for $p$-adic quasisplit $Sp(N)$ and $O(N)$ following the works of M{\oe}glin. This allows us to answer many delicate questions concerning the Arthur packets of these groups, for example the size of the packets.