Title: Geometric aspects of nonequilibrium thermodynamics and 
thermodiffusion

Abstract:

I will review some results on a line of enquiry devoted to the interplay 
between differential geometry and thermodynamics. In particular, I will 
argue that: A gauge connection emerges from an underlying symmetry of 
(information) thermodynamics under "coarse graining" and encodes the 
equilibrium/nonequilibrium nature of a system, with Wilson loops playing 
the role of thermodynamic forces; Brownian motion on a manifold can be a 
model of diffusion in temperature gradients when local thermal 
equilibrium holds, leading to a modified version of the First Law of 
thermodynamics.