Ricci curvature and quantum geometry

Jul 2, 2021, 11:30 AM
40m
Chair: Gregorio Falqui

Chair: Gregorio Falqui

Speaker

Prof. Mauro Carfora

Description

We describe a few elementary aspects of the circle of ideas associated with a quantum
field theory (QFT) approach to Riemannian Geometry, a theme related to how Riemannian
structures are generated out of the spectrum of (random or quantum) fluctuations
around a background ?fiducial geometry. In such a scenario, Ricci curvature with its subtle
connections to di ffusion, optimal transport, Wasserestein geometry, and renormalization
group features prominently.

Primary author

Prof. Mauro Carfora

Presentation materials