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Department of Mathematics,
University of California San Diego

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Math 209: Number Theory Seminar

Koji Shimizu and Gyujin Oh

Tsinghua University/Columbia University

Moduli stack of isocrystals and counting local systems

Abstract:

To a smooth projective curve over a finite field, we associate rigid-analytic moduli stacks of isocrystals together with the Verschiebung endomorphism. We develop relevant foundations of rigid-analytic stacks, and discuss the examples and properties of such moduli stacks. We also illustrate how such moduli can be used to count p-adic coefficient objects on the curve of rank one.

The main talk will be given by Oh. In the pre-talk, Shimizu will introduce integrable connections and isocrystals, which will be the key objects in the main talk.

[pre-talk at 1:00PM]

February 6, 2025

2:00 PM

APM 6402 and online (see https://www.math.ucsd.edu/~nts/)

Research Areas

Number Theory

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