The seminar, after a summary of some typical GPR applications in different glaciological topics, will focus on pretty new quantitative studies showing that with such a method, besides an accurate subsurface imaging, it is possible to infer the density distribution within glacial bodies, locate brines, characterize polythermal glaciers by determining warm and cold domains. For all the applications both the theoretical bases and experiments on real datasets will be provided, highlighting pros and cons. A detailed discussion on the challenges and on future possible developments will conclude the talk.