| Speaker: | John Welliaveetil (Kavli IPMU) |
|---|---|
| Title: | An Introduction to non-Archimedean geometry (Posdoc Colloquium) |
| Date (JST): | Fri, Nov 06, 2020, 15:00 - 15:30 |
| Place: | Zoom |
| Related File: | 2590.pdf |
| Abstract: | Over the course of the 20th century there have been several approaches, each with its merits, to developing a theory of geometry over non-Archimedean valued fields analogous to the theory over the complex numbers. However, it was only in the late eighties that V. Berkovich introduced a theory of non-Archimedean geometry which provided analytic spaces with good topological properties. In 2010, Ehud Hrushovski and François Loeser using techniques from Model theory, studied the homotopy type of the Berkovich analytification of quasi-projective varieties over non-Archimedean real valued fields. They showed that these homotopy types are determined by finite simplicial complexes embedded in the analytifications. In this talk, we discuss the construction of Berkovich briefly and outline how the work of Hrushovski--Loeser can be generalized to a relative setting. |
| Remarks: | IPMU Postdoc Colloquium Series 9 Registration necessary from here: https://ipmu.zoom.us/webinar/register/WN_SiQNqIjNSfCUiA0na9o58g |
