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\documentclass[aspectratio=169]{beamer}
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\usepackage[english]{babel}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}
\usepackage{sagetex}
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\usepackage{ulem}
\usepackage{xcolor}

\usetheme{edmaths}
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\title{Bridgeland Stabilities and Finding Walls}
\subtitle{}
\author{Luke Naylor}
\institute{Hodge Club}
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\date{March 2023}

\newcommand\RR{\mathbb{R}}
\newcommand\CC{\mathbb{C}}
\newcommand\centralcharge{\mathcal{Z}}
\newcommand\coh{\operatorname{Coh}}
\newcommand\rank{\operatorname{rk}}
\newcommand\degree{\operatorname{deg}}
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\begin{document}

\begin{frame}
	\titlepage
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\end{frame}

\section{Transitioning to Stab on Triangulated Categories}
\begin{frame}{Central Charge}
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	\begin{column}{.5\textwidth}
		\centering
		one
		\\
		one
		\\
		one
		\\
		one
		\\
	\end{column}

	\begin{column}{.4\textwidth}
		\centering
		two
	\end{column}
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\end{frame}

\begin{sagesilent}
	import sagetexscripts.fig1
\end{sagesilent}

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\begin{frame}{Central Charge for Mumford Stability}
	\begin{align*}
		\centralcharge \colon \coh(X) &\to \CC \\
		E &\mapsto - \degree(E) + i \rank(E)
	\end{align*}


	\begin{column}{.5\textwidth}
		\centering
		one
	\end{column}

	\begin{column}{.4\textwidth}
		\centering
		two
	\end{column}

	\resizebox{1\hsize}{!}{
		\sageplot{sagetexscripts.fig1.plot()}
	}

	\begin{column}{.5\textwidth}
		\centering
		one
		\\
		one
		\\
		one
		\\
		one
		\\
	\end{column}

	\begin{column}{.4\textwidth}
		\centering
		two
	\end{column}

\end{frame}

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\section{Section 1}

\section{Section 2}

\subsection{Subsection 2.1}


\end{document}