P-adic integration: Rationality and Igusa zeta function

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Description

This lecture covers the proof of Dwork's theorem and introduces p-adic manifolds in differential geometry. It also discusses Serre's classification of p-adic manifolds, p-adic integration, and the rationality of the Igusa zeta function. The lecture concludes with a detailed explanation of the relationship between the Igusa zeta function and monodromy conjectures.

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https://mediaspace.epfl.ch/media/0_zf9qqns9

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