Time: 10:10am-12:00pm, Tuesday, September 8th. 

Place: Room 29,  Quan Zhai, BICMR

Speaker: Anda Degeratu, University of Freiburg

 

Abstract: In this talk I will introduce the class of quasi-asymptotically conical (QAC) manifolds, a less rigid Riemannian formulation of the QALE geometries introduced by Joyce in his study of crepant resolutions of Calabi-Yau orbifolds. Our set-up is in the category of real stratified spaces and Riemannian geometry. Given a QAC manifold, we identify the appropriate weighted Sobolev spaces, for which we prove the finite dimensionality of the null space for generalized Laplacian as well as their Fredholmness. We then use this to prove existence and uniqueness of solutions to Monge-Ampere equation.