Abstract

Content still TBC , but current working abstract is as follows. Alternatively, I could also talk about a subject from Galactic Archeology, or combine both topics.   The image quality of ground based astronomical telescopes suffers from turbulences in the atmosphere. Adaptive Optics (AO) systems use wavefront sensor measurements of incoming light from guide stars to determine an optimal shape of deformable mirrors (DM) such that the image of the scientifc object is corrected after reflection on the DM(s). The operation of the AO systems of the new generation of large astronomical telescopes under construction requires new mathematical methods, in particular for wavefront reconstruction and atmospheric tomography. Additionally, the reconstructions have to computed in real time, as the turbulences in the atmosphere change in about 1-2 milliseconds. The presented methods have been developed in the framework of the instruments METIS , MICADO and MORFEO of the Extremely Large Telescope (ELT) of the European Southern Observatory (ESO).