Button to scroll to the top of the page.

Events

Monthly View
By Month
Weekly View
By Week
Daily View
Today
Search
Search
Junior Geometry
Download as iCal file
Hunter Vallejos, Zoom: Randomly sampling half-translation surfaces
Tuesday, March 30, 2021, 03:45pm - 04:45pm
We will discuss a recent theorem of Francisco Arana-Herrera which states that horoball segment measures on the bundle of unit-length measured geodesic laminations over the moduli space of hyperbolic surfaces equidistribute with respect to Mirzakhani measure. After a brief overview of the proof, we will discuss an application of this theorem, which gives a concrete recipe to randomly sample hyperbolic surfaces. Once we have a random hyperbolic surface, we can use train tracks to randomly sample a quadratic differential using the Thurston homeomorphism, thus giving us a random half-translation surface.
Location: Zoom

Math Calendar Login