Ricci flow and Hamilton's flying wing Conjecture

主讲人 Speaker:Yi Lai (Stanford University)
时间 Time:Wed., 10:30-11:30 am, Dec. 20, 2023
地点 Venue:Zoom Meeting ID: 813 9264 7920 Passcode: 1220

Click the link to join the meeting: https://zoom.us/j/81392647920?pwd=bWh4YjBpSERBejNSSGNVV2o0UC9Hdz09


Ricci flow is an important tool in geometric analysis. There have been remarkable topology applications of Ricci flow on closed manifolds, such as the Poincaré Conjecture resolved by Perelman, and the recent Generalized Smale Conjecture resolved by Bamler-Kleiner. In contrast, much less is known about the Ricci flow on open manifolds. Solitons produce self-similar Ricci flows, and they often arise as singularity models. Collapsed singularities and solitons create additional difficulties for open manifolds. In this talk, I will survey some recent developments in Ricci flow on open manifolds. In particular, I will talk about the resolution of Hamilton's Flying Wing Conjecture, and the resulting collapsed steady solitons.


Yi Lai is currently a Szego assistant professor at Stanford University. She obtained her bachelor's degree from Peking University in 2016. She obtained her P.h.D from UC Berkeley in 2021 under the supervision of Richard Bamler. Her research focuses on geometric analysis and Ricci flow.