Monday, February 11, 2019
4:00 pm

Algebra and Geometry Seminar

Ramification of $p$-adic etale sheaves coming from ordinary
Joe Kramer-Miller, Department of Mathematics, UC Irvine
Wan conjectured that the variation of zeta functions along towers of curves associated to the $p$-adic etale cohomology of a fibration of smooth proper ordinary varieties should satisfy several stabilizing properties. The most basic of these conjectures state that the genera of the curves in these towers grow in a regular way. We state and prove a generalization of this conjecture, which applies to the graded pieces of the slope filtration of an overconvergent $F$-isocrystal.
Contact Mathematics Dept. mathinfo@caltech.edu at 626-395-4335
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