Motivated by recent developments in singular SPDEs, Schrödinger operators with singular (Gaussian) random potentials have attracted much attention. In this talk, after reviewing previous results in this field, I will discuss simple construction of such Schrödinger operators, which is based on standard techniques of symmetric forms. Furthermore, I will discuss asymptotics of the parabolic equation associated to those operators with singular Gaussian random potentials. The talk is based on joint work with Willem van Zuijlen (WIAS). ＊本セミナーは Zoom を用いて行われます。 参加を希望される方は塩沢（shiozawa "at" math.sci.osaka-u.ac.jp）まで お問い合わせ下さい。