%0 Conference Proceedings %T D-instantons, Quantum mirror symmetry and Integrability %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Alexandrov, Sergey %F Invité %< avec comité de lecture %Z LPTA:10-059 %B Advances in string theory, wall-crossing, and quaternion-Kähler geometry %C Paris, France %8 2010-08-30 %D 2010 %Z Physics [physics]/High Energy Physics - Theory [hep-th]Conference papers %X I'll present recent results on the non-perturbative description of the hypermultiplet moduli space of compactified Type II string theory. The geometry of the moduli space gets instanton corrections due to D-branes and I'll show how one can describe all these D-instantons using the twistor approach to quaternionic geometries. These results are used to get a quantum completion of the classical mirror map and to show a deep relation of the twistor description of D-instantons to integrability. %G English %L hal-00515368 %U https://hal.science/hal-00515368 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2