In the early 1920s, Loewner introduced a constructive approach to the Riemann mapping theorem that realized a conformal mapping as the solution to a differential equation. Roughly, the “input” to Loewner’s differential equation is a driving measure and the “output” is a family of nested, conformally equivalent domains. This theory was revitalized in the late 1990s by Schramm. The Schramm-Loewner evolution (SLE) is a stochastic family of slit mappings driven by Loewner’s equation when the driving measure is an atom executing Brownian motion.
Most of the baryons associated with galaxy halos reside in the
circumgalactic medium. A significant fraction of the mass is at
temperatures well below the halo virial temperature. What holds
the cool CGM up? I will present new measurements of the kinematics
of circumgalactic gas. The data show that much of the low-ionization
CGM rotates in the same direction as the galactic disk, suggesting
substantial centrifugal support. Disturbances from galactic winds
I will talk about joint works with F. C. Marques and A. Neves, and L. Guth.