WorkshopsConvergence of solutions of p-adic differential equations
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The theory of convergence of solutions of p-adic differential equations has its origins in the work of Dwork in the 1960s, but recently has been clarified dramatically by the use of Berkovich analytic spaces. I will summarize recent work of myself, Baldassarri, Poineau, and Pulita (in various combinations) giving a fairly definitive description of the convergence properties of horizontal sections of connections on Berkovich curves.
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Kiran Kedlaya
2012-12-18
10:30:00 - 12:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
The theory of convergence of solutions of p-adic differential equations has its origins in the work of Dwork in the 1960s, but recently has been clarified dramatically by the use of Berkovich analytic spaces. I will summarize recent work of myself, Baldassarri, Poineau, and Pulita (in various combinations) giving a fairly definitive description of the convergence properties of horizontal sections of connections on Berkovich curves.