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\title{\parbox{0.7\linewidth}{\centering A similarity renormalization group approach to Green's function methods}}
% \title{A similarity renormalization group approach \\ to Green's function methods}
\author{Antoine MARIE and Pierre-François \textsc{LOOS}}
\date{\today}
\institute{Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, France}

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\begin{document}

\maketitle

\begin{columns}
    \column{0.5}
    \block{GW}{\blindtext}
    \column{0.5}
    \block{SRG}{
    \begin{minipage}[t]{0.48\linewidth}
    The pillar of the SRG formalism is the flow equation
    \begin{equation}
        \label{eq:flowEquation}
        \dv{\boldsymbol{H}(s)}{s} = \comm{\boldsymbol{\eta}(s)}{\boldsymbol{H}(s)}
    \end{equation}
    with the similarity transformed Hamiltonian
    \begin{equation}
        \label{eq:SRG_Ham}
        \boldsymbol{H}(s) = \boldsymbol{U}(s) \, \boldsymbol{H} \, \boldsymbol{U}^\dagger(s)
    \end{equation}
    In this work, we use Wegner's generator
    %\begin{equation}
    %    \boldsymbol{\eta}(s) = \dv{\boldsymbol{U}(s)}{s}	\boldsymbol{U}^\dagger(s)	= - \boldsymbol{\eta}^\dag(s)
    %\end{equation}
    \begin{equation}
  \boldsymbol{\eta}^\text{W}(s) = \comm{\boldsymbol{H}^\text{d}(s)}{\boldsymbol{H}^\text{od}(s)}
\end{equation}
    \end{minipage}
    \hfill\vline\hfill
    \begin{minipage}[t]{0.48\linewidth}
            BLABLABLA
    \end{minipage}
    }
\end{columns}

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    {
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        \blindtext
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    \block{Functional form of the qs$GW$ and SRG-qs$GW$}{
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            BLABLABLA
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            \begin{tikzfigure}
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            BLABLABLA
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\begin{columns}
    \column{0.5}
    \block{Something else}{
        \begin{tikzfigure}
            \includegraphics[height=15cm]{fig3.pdf}
        \end{tikzfigure}}
    \column{0.5}
    \block{$GW$50 statistics}{    
        \begin{tikzfigure}
            \includegraphics[height=15cm]{fig6.pdf}
        \end{tikzfigure}}

\end{columns}



\begin{columns}
    \column{0.85}
\block{$GW$50 statistics}{    
        \begin{tikzfigure}
            \includegraphics[height=15cm]{fig5.pdf}
        \end{tikzfigure}}
\column{0.15}
\block{Funding}{    
This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No. 863481).}
\end{columns}

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\end{document}
