Linquan Ma : Test ideals in mixed characteristic via the p-adic Riemann-Hilbert correspondence

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Sept. 1, 2023, 11 a.m.

In

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Abstract

We introduced a mixed characteristic test ideal using the p-adic Riemann-Hilbert correspondence of Bhatt-Lurie. We show that, under mild finiteness assumptions, this version of test ideal commutes with localization and can be computed by a single alteration up to small perturbation. This is based on joint work in progress with Bhargav Bhatt, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron, and Jakub Witaszek.