nLab
p-adic geometry

Idea

The special case of non-archimedean analytic geometry based on p-adic numbers.

Examples

• adic space

• non-archimedean analytic geometry

• Berkovich analytic space

Related concepts

• p-adic homotopy

• p-adic cohomology

• p-adic physics

References

Survey is in

• Bernard Le Stum, One century of $p$-adic geometry – From Hensel to Berkovich and beyond, talk notes, June 2012 (pdf)

• Peter Scholze, $p$-adic geometry, ICM report (arXiv:1712.03708)

• Peter Scholze, Jared Weinstein, Berkeley lectures on $p$-adic geometry, pdf.