Tóm tắt báo cáo (abstract): Let $k$ be a local field, $G$ a semisimple group defined over $k$, and let $K$ be the maximal unramified extension of $k$ in a fixed algebraic closure $\overline{k}$. In this talk, we study a construction of supercuspidal representations of $G(k)$ with smallest positive depth due to M. Reeder and J.-K. Yu (2014). This construction comes from the Moy-Prasad filtrations of $G(K)$ and stable points in some derived algebraic representations.