Algebraic geometry in mixed characteristic
Bhargav Bhatt
TL;DR
This paper discusses recent advances in algebraic geometry over p-adically complete rings, highlighting foundational progress and external applications in the context of mixed characteristic.
Contribution
It surveys recent developments in algebraic geometry in mixed characteristic, emphasizing foundational and application-oriented advances.
Findings
New foundational results in algebraic geometry over p-adic rings
External applications demonstrating the utility of these advances
Progress in understanding algebraic structures in mixed characteristic
Abstract
Fix a prime number . We report on some recent developments in algebraic geometry (broadly construed) over -adically complete commutative rings. These developments include foundational advances within the subject as well as external applications.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models