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One way to extract more information from the integrated light of galaxies isto improve the spectral resolution at which observations and analysis arecarried out. The population synthesis code currently providing the highestspectral resolution is Pegase-HR, which was made available by D. Le Borgne etal. in 2004. Based on an empirical stellar library, it provides syntheticspectra between 4000 and 6800 A at lambda/d(lambda)=10000 for any starformation history, with or without chemical evolution. Such a resolution isparticularly useful for the study of low mass galaxies, massive star clusters,or other galaxy regions with low internal velocity dispersions.  After a summary of the main features of Pegase-HR and comparisons with otherpopulation synthesis codes, this paper focuses on the inversion of opticalgalaxy spectra. We explore the limits of what information can or can not berecovered, based on theoretical principles and extensive simulations. Firstapplications to extragalactic objects are shown.Comment: Inv. talk in "The Spectral Energy Distribution of Gas-Rich Galaxies:  Confronting Models with Data", Heidelberg, 4-8 Oct. 2004, eds. C.C. Popescu  and R.J. Tuffs, AIP Conf. Ser., in pres

Modelling and interpreting optical spectra of galaxies at R=10 000