Geometry and Topology Seminar 2019-2020: Difference between revisions
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=== Bing Wang === | === Bing Wang === | ||
''The extension problem of the mean curvature flow'' | ''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. | 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. | ||
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=== Ben Weinkove === | === Ben Weinkove === | ||
''Gauduchon metrics with prescribed volume form'' | |||
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. | 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. | ||
Revision as of 19:32, 9 September 2016
The Geometry and Topology seminar meets in room B223 of Van Vleck Hall on Fridays from 1:20pm - 2:10pm.
For more information, contact Alexandra Kjuchukova or Lu Wang .
Fall 2016
| date | speaker | title | host(s) |
|---|---|---|---|
| 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) |
| September 30 | |||
| October 7 | Yu Li (UW Madison) | "TBA" | (Local) |
| October 14 | Sean Howe (University of Chicago) | "TBA" | Melanie Matchett Wood |
| October 21 | |||
| 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 |
| November 11 | |||
| November 18 | Caglar Uyanik (Illinois) | "TBA" | Kent |
| Thanksgiving Recess | |||
| December 2 | Peyman Morteza (UW Madison) | "TBA" | (Local) |
| December 9 | |||
| December 16 | |||
Fall Abstracts
Ronan Conlon
TBA
Jiyuan Han
TBA
Sean Howe
TBA
Yu Li
TBA
Gaven Marin
TBA
Caglar Uyanik
TBA
Peyman Morteza
TBA
Bing Wang
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.
Ben Weinkove
Gauduchon metrics with prescribed volume form
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.
Jonathan Zhu
TBA
Archive of past Geometry seminars
2015-2016: Geometry_and_Topology_Seminar_2015-2016
2014-2015: Geometry_and_Topology_Seminar_2014-2015
2013-2014: Geometry_and_Topology_Seminar_2013-2014
2012-2013: Geometry_and_Topology_Seminar_2012-2013
2011-2012: Geometry_and_Topology_Seminar_2011-2012
2010: Fall-2010-Geometry-Topology