K -> pi nu nu-bar decays and CKM fits

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After a brief introduction to the so-called flavour problem, we discuss the role of K -> pi nu nu-bar decays in shedding new light on this issue. In particular, we review the theoretical uncertainties in predicting B(K -> pi nu nu-bar) within the SM, the sensitivity of these observables to New Physics scenarios, and the status of their experimental determination.
Invited talk at the Workshop on the CKM Unitarity Triangle, IPPP Durham, April 2003 (eConf C0304052). 5 pages LaTeX, 4 eps figures (v2: numerical errors corrected)

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