Geodesic lines in Mabuchi space

by Tamas Darvas (University of Maryland)

Thursday Jun 19, 2025, 10:30 AM → 11:30 AM Europe/Paris

 We give a Ross-Witt Nystrom type correspondence for geodesic lines in the space of Kahler potentials. Using this result, we construct geodesic lines in this space for all projective Kahler manifolds, resolving a folclore conjecture, popularized by Berndtsson and others (joint with Nick McCleerey).