The APDE seminar on Monday, 11/23, will be given by Grigorios Fournodavlos online via Zoom from 9:10 to 10am (note the time change). To participate, email Georgios Moschidis (firstname.lastname@example.org) or Federico Pasqualotto (email@example.com).
Title: Asymptotically Kasner-like singularities.
Abstract: The Kasner metric is an exact solution to the Einstein vacuum
equations, containing a Big Bang singularity. Examples of more general
singularities in the vicinity of Kasner are in short supply, due its
complicated dynamics. I will present a recent joint work with Jonathan
Luk, which constructs a large class of singular solutions with
Kasner-like behavior, without symmetry or analyticity assumptions.