These active scalar equations interpolate between the 2D Euler and the standard surface quasi-geostrophic equation. They arise as geodesic equations of homogeneous Sobolev H−β/2 metrics on the subgroup of exact diffeomorphisms. I will discuss some recent results on analytic properties of the associated exponential map.

The talk will be via Zoom at: https://utoronto.zoom.us/j/99576627828

Passcode: 448487