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prescientmoon 2025-03-21 13:41:33 +01:00
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isospectral.tex
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\begin{frame}{The silver lining} \begin{frame}{The silver lining}
\begin{itemize} \begin{itemize}
\item Isospectral pairs are cool and all, but they cannot occur in dimension $3$. \item Isospectral pairs are intriguing in their own right, but they cannot occur in dimension $3$.
\item We can thus attempt to infer the shape of our universe based on its spectrum. \item We can thus attempt to infer the shape of our universe based on its spectrum.
\end{itemize} \end{itemize}
\end{frame} \end{frame}

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main.tex
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@ -263,7 +263,7 @@ code-for-last-col = \color{blue}
\end{frame} \end{frame}
\begin{frame}{References} \begin{frame}{References 2 --- electric boogaloo}
\begin{itemize} \begin{itemize}
\item [6] N. Jarosik et. al. \textit{Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors, and Basic Results}. The American Astronomical Society, 2011. \item [6] N. Jarosik et. al. \textit{Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors, and Basic Results}. The American Astronomical Society, 2011.
@ -274,7 +274,7 @@ code-for-last-col = \color{blue}
\end{itemize} \end{itemize}
\end{frame} \end{frame}
\begin{frame}{References} \begin{frame}{References 3 --- the references strike again}
\begin{itemize} \begin{itemize}
\item [11] E. A. Lauret and B. Linowitz. \textit{The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems}. New York Journal of Mathematics, 2025. \item [11] E. A. Lauret and B. Linowitz. \textit{The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems}. New York Journal of Mathematics, 2025.
\item [12] R. Lehoucq, J. Weeks, J. P. Uzan, E. Gausmann, and J.P. Luminet. \textit{Eigenmodes of three-dimensional spherical spaces and their application to cosmology}. Classical and Quantum Gravity, 2002. \item [12] R. Lehoucq, J. Weeks, J. P. Uzan, E. Gausmann, and J.P. Luminet. \textit{Eigenmodes of three-dimensional spherical spaces and their application to cosmology}. Classical and Quantum Gravity, 2002.