Unlikely Intersections Seminar: Moduli stack of isocrystals and counting local systems, by Gyujin Oh
April 15, 2025
2:00 PM - 2:50 PM
Gyujin Oh (Columbia University): Moduli stack of isocrystals and counting local systems
For a smooth projective curve over a finite field, we construct the p-adic analytic moduli stack of isocrystals and study its geometry. This is a crystalline analogue of the moduli of integrable connections; in particular, it admits a Frobenius pullback endomorphism, even though the moduli space is a characteristic 0 object. We will illustrate, with the concrete example of rank 1 moduli, how its interesting geometry can be used to count (the p-adic analogues of) rank 1 local systems over a curve. Joint work with Koji Shimizu.
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Date posted
Apr 14, 2025
Date updated
Apr 14, 2025
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