Add silver lining
This commit is contained in:
parent
7947af0a53
commit
1eac83d4a9
|
@ -32,16 +32,20 @@
|
|||
\end{frame}
|
||||
\end{comment}
|
||||
|
||||
\begin{frame}{The silver lining}
|
||||
{
|
||||
\usebackgroundtemplate{
|
||||
\begin{tikzpicture}
|
||||
\clip (0,0) rectangle (\paperwidth,\paperheight);
|
||||
\fill[color=orange] (\paperwidth-10pt,0) rectangle (\paperwidth,\paperheight);
|
||||
\fill[color=silver] (\paperwidth-10pt,0) rectangle (\paperwidth,\paperheight);
|
||||
% Added
|
||||
\fill[color=orange](0,0) rectangle (10pt,\paperheight);
|
||||
\fill[color=silver](0,0) rectangle (10pt,\paperheight);
|
||||
\end{tikzpicture}
|
||||
}
|
||||
|
||||
\begin{frame}{The silver lining}
|
||||
\begin{itemize}
|
||||
|
||||
\item Isospectral pairs are cool and all, but they cannot occur in dimension $3$.
|
||||
\item We can thus attempt to infer the shape of our universe based on its spectrum.
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
}
|
||||
|
|
18
main.tex
18
main.tex
|
@ -61,6 +61,8 @@ code-for-last-col = \color{blue}
|
|||
\setbeamercolor{block body}{fg=black, bg=pink!20}
|
||||
\setbeamercolor{titlebox}{fg=black,bg=white}
|
||||
|
||||
\definecolor{silver}{RGB}{192, 192, 192}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\section{Introduction}
|
||||
|
@ -136,7 +138,7 @@ code-for-last-col = \color{blue}
|
|||
\item Manifolds of the form $\S^3/\Gamma$ with $\Gamma$ a group acting on $\S^3$.
|
||||
\item Multi-connected space: it has non-contractable loops.
|
||||
\item Inhomogeneous space: it does not look identical from every point in space.
|
||||
\pause
|
||||
\pause
|
||||
\item Fixing $|\Gamma|=8$, we have three multi-connected manifolds, up to equivalence: \pause
|
||||
\begin{enumerate}
|
||||
\item homogeneous: $N3$ and $L(8,1)$.
|
||||
|
@ -230,16 +232,16 @@ code-for-last-col = \color{blue}
|
|||
|
||||
\pause
|
||||
\begin{enumerate}
|
||||
\item We can infer the shape of the universe from its spectrum.
|
||||
\item We can infer the shape of the universe from its spectrum.
|
||||
|
||||
\pause
|
||||
\item There are two homogeneous spherical manifolds obtained as $\S^3/\Gamma$ which produce CMB similar to observations.
|
||||
\pause
|
||||
\item There are two homogeneous spherical manifolds obtained as $\S^3/\Gamma$ which produce CMB similar to observations.
|
||||
|
||||
\pause
|
||||
\item Inhomogeneous spherical spaces exhibit varied behavior of CMB anisotropies.
|
||||
\pause
|
||||
\item Inhomogeneous spherical spaces exhibit varied behavior of CMB anisotropies.
|
||||
|
||||
\pause
|
||||
\item Statistical test results suggest possibilities of finite multi-connected topology.
|
||||
\pause
|
||||
\item Statistical test results suggest possibilities of finite multi-connected topology.
|
||||
\end{enumerate}
|
||||
\end{frame}
|
||||
|
||||
|
|
Loading…
Reference in a new issue