English

Algebraic geometry in mixed characteristic

Algebraic Geometry 2021-12-23 v1 Commutative Algebra Algebraic Topology Number Theory

Abstract

Fix a prime number pp. We report on some recent developments in algebraic geometry (broadly construed) over pp-adically complete commutative rings. These developments include foundational advances within the subject as well as external applications.

Keywords

Cite

@article{arxiv.2112.12010,
  title  = {Algebraic geometry in mixed characteristic},
  author = {Bhargav Bhatt},
  journal= {arXiv preprint arXiv:2112.12010},
  year   = {2021}
}

Comments

Prepared for the ICM in 2022

R2 v1 2026-06-24T08:28:10.982Z