Calabi-Yau metrics on some symmetric spaces
Thibaut Delcroix (Straßburg)
Abstract: In this talk, I will present how, in a joint work with O. Biquard, we constructed Ricci flat Kähler metrics on some rank two complex symmetric spaces. On compact complex manifolds, the existence of such metrics is fully understood by the famous solution by Yau of the Calabi conjecture. For non compact manifolds as in our case, results of existence mostly rely on determining an asymptotic model. We determined geometrically meaningful asymptotic models in our situation by using the wonderful compactifications of symmetric spaces.