Nicolas Martinet (ENS Cachan) Title: Cosmological constraints from shear peaks in weak lensing maps Abstract: Weak lensing (WL) theory has become a major tool in studying cosmology, leading to the development of large surveys such as LSST, Euclid and WFIRST. The study of peaks in WL maps is a recent technique that presents the advantage of adding constraints on cosmological parameters using the same data as needed for cosmic shear. After briefly reviewing WL theory, I will focus on the detection of peaks in WL map simulations. Then, I will review the latest results on the subject and present our method adapted to work on actually observed shear, rather than convergence, maps. Finally, I will describe how to extend the method to peak tomography and our study of the potential gains it offers for constraining cosmological parameters, using the new SUNGLASS WL simulation pipeline.