Statistics Group

Tristan Vaccon, Université de Limoges: p-adic precision, examples and applications


Referent: Tristan Vaccon, p-adic precision, examples and applications

Donnerstag,  30.10.2019, 14:00 h

Ort:Raum 46-267

Abstract:

p-adic numbers can usually only be handled with finite precision, which yields the problems of determining the smallest precision needed for a computation or the loss of precision per operation.

With X. Caruso and D. Roe, we have provided a method to handle precision over p-adics that relies on differentials and first-order approximation. It provides results that are (essentially) optimal and do not depend on the choice of algorithm.

We will present various illustrations of this technique. We will also present a Sagemath implementation to compute automatically the optimal precision on a given computation.

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