The Heat Flow as Gradient Flow
Speaker:
Nicola Gigli, SISSA Trieste
Date and Time:
Tuesday, November 2, 2010 - 5:10pm to 6:00pm
Location:
Fields Institute, Room 309
Abstract:
I will prove that in a generic metric measure space with Ricci curvature bounded below the Gradient Flow of the relative entropy w.r.t. W_2 coincides with the Gradient Flow of a naturally defined Dirichlet energy w.r.t. the L^2 structure.