@@ -273,11 +273,14 @@ We turn this phenomenon into a definition, which has several equivalent descript

There is a interesting procedure to construct such elliptic genera, which also explains the name: There is an intimate connection with elliptic functions from complex analysis.

This is what \citeauthor{hirzebruch_modularforms} explain in \cite[Chap.~2]{hirzebruch_modularforms}.

The gist is, that lattices of $\mathbb{C}$ give rise to elliptic genera via their Weierstraß $\wp$ function.

This involves quite a lot of computations, which we will omit here -- a very brief summary is adequate nonetheless.\todo{do it!}

% section ellipctic_genera_markus (end)

\section{Modular Forms -- Jens}% (fold)

\label{sec:modular_forms_jens}

This seems to be mostly algebra and I'm unsure, whether it is actually relevant for my talk?