CMS jet measurements and constraints on PDFs and $\alpha_\text{s}$

A selection of recent jet measurements in proton-proton collisions from the CMS Collaboration at the CERN LHC is presented. Several experimental results targeting jet production are summarized, including differential measurements of the inclusive jet cross section at center-of-mass energies of $\sqrt{s}$ = 13 TeV and 5.02 TeV, and of the dijet cross section at $\sqrt{s}$ = 13 TeV. The measurements are compared to state-of-the-art theoretical predictions at next-to-next-to-leading-order accuracy in perturbative QCD, and the strong coupling constant $\alpha_\text{s}(m_\text{Z})$ is extracted simultaneously with the parton distribution functions (PDFs) of the proton at 13 TeV. A further experimental handle on $\alpha_\text{s}(m_\text{Z})$ is provided by a measurement of jet azimuthal correlations. Finally, a novel measurement of the energy-energy correlators inside jets is outlined. These provide an additional way of determining $\alpha_\text{s}(m_\text{Z})$ while also constituting useful observables for probing phase spaces dominated by nonperturbative processes like hadronization and have applications in the context of Monte Carlo event generator tuning.