Alejandro Gil García (Hamburg) will speak in our geometry seminar on 30th October at 2pm in the Salle des Profs. Alejandro’s title is “Complete cohomogeneity one quaternionic Kähler manifolds” and his abstract is below.
We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry group of the one-loop deformation of any homogeneous c-map space has precisely cohomogeneity one. This is a joint work with V. Cortés and A. Saha (https://link.springer.com/article/10.1007/s00220-023-04830-6).