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DTSTART;TZID=America/Chicago:20260924T150000
DTEND;TZID=America/Chicago:20260924T160000
DTSTAMP:20260917T152840Z
SUMMARY:Algebraic Geometry Seminar | Hanlin Cai (Northwestern)
UID:645969@northwestern.edu
TZID:America/Chicago
DESCRIPTION:Title: Perturbation of mixed characteristics test ideal  Abstract: Given a normal integral scheme of finite type over a mixed characteristic complete DVR or a perfect field of characteristic p\, one can define the notion of a test ideal. This sheaf is used to characterize a class of mild singularities known as splinter singularities\, which are analogous to rational singularities in characteristic 0. In equal characteristics\, it is a well-known result that test and multiplier ideals are stable under small perturbations. In this talk\, I will explain how to extend this stability result to the mixed characteristic setting and discuss some of its applications. Time permitting\, I will also outline the key ideas and tools from p-adic geometry that underlie the proof. This is based on joint work in progress with Bhargav Bhatt and Linquan Ma.
LOCATION:Lunt Hall\, 107\, 2033 Sheridan Road\, Evanston\, IL 60208
TRANSP:OPAQUE
URL:https://planitpurple.northwestern.edu/event/645969
CREATED:20260910T050000Z
STATUS:CONFIRMED
LAST-MODIFIED:20260917T042403Z
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