| Résume | In recent years, Peter Scholze and I have developed condensed mathematics, which is intended to make it easier to work with structures having a mix of algebraic and topological aspects. Using this we've also developed a new theory of analytic geometry. One of the fundamental examples in analytic geometry is the "Tate curve", which has its roots in the classical theory of elliptic functions from complex analysis, but which, in the hands of Tate, was remarkably extended to a much more general context. In this talk, I will start with the classical theory and then try to explain how the Tate curve appears from our perspective. |
