About this Event
Speaker: Gary Guth
Title: Stabilizations, Satellites, and Exotic Surfaces
Abstract: A long standing question in the study of exotic behavior in dimension four is whether exotic behavior is “stable". Hosokawa-Kawauchi and Baykur-Sunukjian showed that exotic surfaces become smoothly equivalent after stabilizing the surfaces some number of times. One naturally asks, "how many stabilizations are necessary, and is one always enough?" By considering certain satellite operations, we provide an answer to this question in the case of exotic surfaces with boundary. (This draws on work-in-progress with Hayden-Kang-Park.)