Fri, April 17, 2026
1:45 pm - 2:45 pm
Math Tower (MW) 100A
Eric Chen
University of Illinois Urbana Champaign
Title
Moduli spaces of asymptotically conical expanding Ricci solitons
Abstract
Expanding Ricci solitons are a kind of self-similar solution of the Ricci flow. Asymptotically conical (AC) examples are interesting because they can be viewed as Ricci flows smoothing out conical singularity models, which appear in 4D Ricci flow. I will describe a moduli space structure for AC expanding Ricci solitons and some applications: the existence of a large class of such solitons, and the existence of a non-Kähler soliton smoothing out a Kähler cone. This is joint work with Richard Bamler, and with Bamler and Ronan Conlon.