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}
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\def\myurl{http://www.math.toronto.edu/~drorbn/}

\begin{document}
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\noindent{
  \bf\href{\myurl}{Dror Bar-Natan}:
  \href{\myurl/classes/}{Classes}:
  \href{\myurl/classes/\#1617}{2017}:
  \href{http://drorbn.net/?title=AKT-17}{MAT 1350 AKT}:
  \href{http://drorbn.net/dbnvp/AKT-170324.php}{March 24}:
}
\begin{center}\huge\bf Associators and Multiple Zeta Values\end{center}

\vskip 5mm

\def\ds{\displaystyle}
\def\lineA{{$\ds
  \int_{0\leq t_1\leq\ldots\leq t_6\leq 1}
  \frac{d(1-t_1)}{1-t_1}
  \frac{dt_2}{t_2}
  \frac{dt_3}{t_3}
  \frac{d(1-t_4)}{1-t_4}
  \frac{d(1-t_5)}{1-t_5}
  \frac{dt_6}{t_6}
$}}
\def\lineB{{$\ds = -
  \int_0^1 \frac{dt_6}{t_6}
  \int_0^{t_6}\frac{dt_5}{1-t_5}
  \int_0^{t_5}\frac{dt_4}{1-t_4}
  \int_0^{t_4}\frac{dt_3}{t_3}
  \int_0^{t_3}\frac{dt_2}{t_2}
  \int_0^{t_2}\frac{dt_1}{1-t_1}
$}}
\def\lineC{{$\ds \sum_{k_1>0} t_1^{k_1-1}$}}
\def\lineD{{$\ds \sum_{k_1>0} \frac{t_2^{k_1}}{k_1}$}}
\def\lineE{{$\ds \sum_{k_1>0} \frac{t_3^{k_1}}{k_1^2}$}}
\def\lineF{{$\ds \sum_{k_1>0} \frac{t_4^{k_1}}{k_1^3}$}}
\def\lineG{{$\ds \sum_{k_1,k_2>0} \frac{t_5^{k_1+k_2}}{k_1^3(k_1+k_2)}$}}
\def\lineH{{$\ds
  \sum_{k_1,k_2,k_3>0}
  \frac{t_6^{k_1+k_2+k_3}}{k_1^3(k_1+k_2)(k_1+k_2+k_3)}
$}}
\def\lineI{{$\ds
  = -\sum_{k_1,k_2,k_3>0}
  \frac{1^{k_1+k_2+k_3}}{k_1^3(k_1+k_2)(k_1+k_2+k_3)^2}
$}}
\def\lineJ{{$\ds
  = -\sum_{0<n_1<n_2<n_3}\frac{1}{n_1^3n_2n_3^2}
  =: -\zeta(3,1,2).
$}}
  
\[ \input{zeta.pdf_t} \]

\newpage
{\bf Tuesday's class:}
\begin{center}
\includegraphics[width=\linewidth]{170324-BBS-Mar21-1.jpg}
\newline
\includegraphics[width=\linewidth]{170324-BBS-Mar21-2.jpg}
\end{center}

\end{document}
\endinput