Department of Mathematics,
University of California San Diego
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Math 209: Number Theory Seminar
Zeyu Liu
UC Berkeley
A stacky approach to prismatic crystals
Abstract:
Nowadays prismatic crystals are gathering an increasing interest as they unify various coefficients in $p$-adic cohomology theories. Recently, attached to any $p$-adic formal scheme $X$, Drinfeld and Bhatt-Lurie constructed certain ring stacks, including the prismatization of $X$, on which quasi-coherent complexes correspond to various crystals on the prismatic site of $X$. While such a stacky approach sheds some new light on studying prismatic crystals, little is known outside of the Hodge-Tate locus. In this talk, we will introduce our recent work on studying quasi-coherent complexes on the prismatization of $X$ via various charts.
[pre-talk at 3:00PM]
February 19, 2025
4:00 PM
APM 7321 and online (see https://www.math.ucsd.edu/~nts
Research Areas
Number Theory****************************
