Inoltro questo annuncio per conto degli organizzatori dei seminari MAP. Saluti, Alessio ---------- Forwarded message --------- Da: Chiara GAMBICCHIA <chiara.gambicchia@sns.it> Date: mar 7 apr 2026, 16:10 Subject: Seminario MAP To: Alessio DI PRISA <alessio.diprisa@sns.it> Caro Alessio, ti sarei grata se potessi inoltrare l'annuncio del prossimo seminario MAP (di cui riporto sotto le informazioni) alla mailing list dei geometri, visto che lo speaker è Cristian Sopio, che so essere stato invitato in precedenza per un seminario di geometria. Grazie mille, Chiara ---------------------------------------------------- When and where: Thursday 9 April, at 11:30 in Aula Seminari (Dipartimento di Matematica). Speaker: Cristian Sopio (Università di Parma) Title: Weak elastic energy of rectifiable curves in the sphere Abstract: In 1950, Milnor introduced a definition of total curvature for rectifiable (hence Lipschitz) curves in R^n and proved that if the curve is C^2-regular and parametrized by arc length, this definition coincides with the integral of the norm of the geodesic curvature of the curve. In 2023, Mucci and Saracco proposed a definition of p-curvature for any exponent p greater than or equal to 1, showing that a rectifiable curve parametrized by arc length belongs to the Sobolev space W^{2,p} if and only if its p-curvature is finite. Moreover, in this case, the p-curvature equals the integral on the curve of the p-th power of the norm of its geodesic curvature. In this seminar, I will explain how the concept of p-curvature can be extended to rectifiable curves in the sphere and how analogous results can be obtained in this setting. This is joint work with D. Mucci and A. Saracco.