An introduction to $p$-adic and motivic zeta functions and the monodromy conjecture

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These notes give a basic introduction to the theory of $p$-adic and motivic zeta functions, motivic integration, and the monodromy conjecture.
Notes of a lecture at the French-Japanese Winter School on Zeta and L-functions (Miura, January 2008); to appear in the conference proceedings (Memoirs of the Mathematical Society of Japan)

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