# In a Search for a Structure, Part 1: On Entropy

### Misha Gromov

Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, France

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## Abstract

Mathematics is about \interesting structures". What make a structure interesting is an abundance of interesting problems; we study a structure by solving these problems. The worlds of science, as well as of mathematics itself, is abundant with gems (germs?) of simple beautiful ideas. When and how may such an idea direct you toward beautiful mathematics? I try to present in this talk a few suggestive examples.