“An intuitive introduction to p-adic geometry”
Wednesday 5 May 2021 h. 14:30 - Zoom - Yukihide Nakada (Dipartimento di Matematica “Tullio Levi-Civita”)
Abstract
The field of p-adic numbers forms a bridge from number theory to analysis, mixing number-theoretic constructions with analytic ideas. And just as the complex numbers made possible complex analytic geometry, the p-adic numbers opened up a new, strange geometry over a number-theoretic field.
The goal of this talk is to paint a broad picture of p-adic geometry accessible to mathematicians without any previous knowledge of number theory. We set the foundations with an intuitive introduction to the field of p-adic numbers and then give a brief introduction to so-called rigid geometry, the p-adic counterpart to complex analytic geometry.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
