Diff. Geom, Math. Phys., PDE Seminar: Brett Kotschwar

  • Date: 03/27/2018
Brett Kotschwar, Arizona State University

University of British Columbia


A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons


I will discuss some recent joint work with Lu Wang in which we prove that a shrinking gradient Ricci soliton which agrees to infinite order at spatial infinity with a generalized cylinder along some end must be isometric to the cylinder on that end. When the shrinker is complete, it must be globally isometric to the cylinder or else to a Z_2-quotient. This work belongs to a larger program aimed at obtaining a structural classification of complete noncompact shrinking solitons.

Other Information: 

Time and location: ESB 2012
Tue 27 Mar 2018, 3:30pm-4:30pm