I was wondering if you could help with the idea of how the following problem can be converted into a standard SOCP.
$\underset{\{\mathbf{W}_{1}\}}{\text{min}} \ \| \mathbf{w}_{1} \| ^{2}_{2}\\ \text{s.t} \ \ \ \mathbf{h}^{T}\boldsymbol{\Pi }\mathbf{w}_{1} +\delta \| \boldsymbol{\Pi} \mathbf{w}_{1} \| _{2} =0 \notag\\ \ \ \ \ \ \ \ \mathbf{h}^{T}\mathbf{w}_{1} +\delta \| \mathbf{w}_{1} \| \geq \sqrt{\Gamma w_{0}} \notag\\ \notag\\ \notag$
Thank you very much for your kind help.