Regularity of Geodesics in Convex and Plurisubharmonic Settings

par Soufian Abja (Texas A & M, Qatar)

jeudi 15 mai 2025, 10:30 → 11:30 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.