Applied/PDE Seminar: Prof. P. Daskalopoulos (Columbia University), 'Ancient Solutions to the Yamabe Flow'

Event Date: 

Friday, May 17, 2013 -
3:00pm to 4:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Carlos Garcia-Cervera

Email: cgarcia@math.ucsb.edu

Phone: 8055638873

We will discuss the existence of new type II ancient compact solutions to the Yamabe flow. These solutions are rotationally symmetric and converge, as $t to -infty$, to a tower of spheres. We will also discuss complete non-compact Yamabe shrinking solitons and the singularity formation of complete non-compact solutions to the conformally flat Yamabe flow whose conformal factors have cylindrical behavior at infinity.