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The tiny neutrino masses and the associated large lepton mixings provide an interesting puzzle and a likely window to the physics beyond the standard model. This is certainly true if neutrinos are Majorana particles, since unlike in the Dirac case, the standard model is not a complete theory. The Majorana case leads to lepton number violation manifested through a neutrinoless double-beta decay and same-sign dileptons possibly produced at colliders such as LHC. I discuss in these lectures possible theories of neutrino mass whose predictions are dictated by their structure only and this points strongly to grand unification. I cover in detail both SU(5) and SO(10) grand unified theories, and study the predictions of their minimal versions. I argue that the theory allows for a (moderate) optimism of probing the origin of neutrino mass in near future.
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