Joint IAS/PU Arithmetic Geometry
Moduli Stack of Isocrystals and Counting Local Systems
For any smooth projective curve over a finite field, we construct the p-adic analytic moduli stack of isocrystals and study its geometry. This is the crystalline analogue of the moduli of integrable connections. Notably, even though it is a characteristic 0 object, the moduli stack admits a Frobenius pullback endomorphism. We will explain motivations coming from the global Langlands correspondence, and illustrate how the geometry of the moduli can be used to count (the p-adic analogues of) local systems. Joint work with Koji Shimizu.
Date & Time
February 23, 2026 | 3:30pm – 4:30pm
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02/23/2026 15:30
02/23/2026 16:30
Joint IAS/PU Arithmetic Geometry
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Topic: Moduli Stack of Isocrystals and Counting Local Systems
Speakers: Gyujin Oh, Columbia University
More: https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-45
For any smooth projective curve over a finite field, we construct the
p-adic analytic moduli stack of isocrystals and study its geometry.
This is the crystalline analogue of the moduli of integrable
connections. Notably, even though it is a characteristic 0 object, the
moduli stack admits a Frobenius pullback endomorphism. We will explain
motivations coming from the global Langlands correspondence, and
illustrate how the geometry of the moduli can be used to count (the
p-adic analogues of) local systems. Joint work with Koji Shimizu.
Simonyi 101 and Remote Access
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Location
Simonyi 101 and Remote AccessSpeakers
Gyujin Oh, Columbia University