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Solving p-adic differential equations on two-dimensional bases
by
Kiran Kedlaya
MIT
The existence of solutions of p-adic differential equations with Frobenius over one-dimensional spaces is nowadays well in hand thanks to the resolution of Crew's conjecture. But in some geometric applications (e.g., rigid cohomology), one is forced to consider higher-dimensional spaces. I'll describe a pivotal two-dimensional situation and explain how one analyzes it by ``successive approximations'' coming from the one-dimensional case.
Date received: April 1, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # calz-37.