Geometry and Topology Seminar
|September 9||Bing Wang (UW Madison)||"The extension problem of the mean curvature flow"||(Local)|
|September 16||Ben Weinkove (Northwestern University)||"Gauduchon metrics with prescribed volume form"||Lu Wang|
|September 23||Jiyuan Han (UW Madison)||"TBA"||(Local)|
|October 7||Yu Li (UW Madison)||"TBA"||(Local)|
|October 14||Sean Howe (University of Chicago)||"TBA"||Melanie Matchett Wood|
|October 28||Ronan Conlon||"TBA"||Bing Wang|
|November 4||Jonathan Zhu (Harvard University)||"TBA"||Lu Wang|
|November 7||Gaven Martin (University of New Zealand)||"TBA"||Simon Marshall|
|December 2||Peyman Morteza (UW Madison)||"TBA"||(Local)|
The extension problem of the mean curvature flow
We show that the mean curvature blows up at the first finite singular time for a closed smooth embedded mean curvature flow in R^3. A key ingredient of the proof is to show a two-sided pseudo-locality property of the mean curvature flow, whenever the mean curvature is bounded. This is a joint work with Haozhao Li.
Every compact complex manifold admits a Gauduchon metric in each conformal class of Hermitian metrics. In 1984 Gauduchon conjectured that one can prescribe the volume form of such a metric. I will discuss the proof of this conjecture, which amounts to solving a nonlinear Monge-Ampere type equation. This is a joint work with Gabor Szekelyhidi and Valentino Tosatti.
Archive of past Geometry seminars