Unified models of inflation and dark energy

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I will introduce two kinds of unified models of inflation and dark energy. The first one is the quintessential inflation model, in which the dark energy and inflation are unified with a simple form of potential as well as the quintessence field non-minimally coupled to the massive neutrino matter. The other one is the f(R) gravity, which combines the R^q inflation with the power-law (exponential) type of the viable f(R) dark energy models. I will demonstrate the observable inflationary parameters and show the observational constraints in both models.