Regularity of Geodesics in Convex and Plurisubharmonic Settings

by Soufian Abja (Texas A & M, Qatar)

Thursday May 15, 2025, 10:30 AM → 11:30 AM Europe/Paris

In this talk, I will present optimal regularity results for geodesics connecting two smooth, strictly convex functions. I will also explore the regularity theory within the $C^{1,\alpha}$ framework. Finally, I will discuss the regularity of geodesics joining two toric, strictly plurisubharmonic functions. This is joint work with Slawomir Dinew.