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| The [[Geometry and Topology]] seminar meets in room '''901 of Van Vleck Hall''' on '''Fridays''' from '''1:20pm - 2:10pm'''. For more information, contact Shaosai Huang.
| | #REDIRECT [[Differential Geometry Seminar]] |
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| In the fall of 2020, we will hold '''online meetings''' on
| | Geometry and Topology is now the [[Differential Geometry Seminar]]. |
| [https://uwmadison.zoom.us/j/94578957620 Zoom platform]
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| (available every '''Friday 1:00pm - 2:30pm''').
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| <br>
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| [[Image:Hawk.jpg|thumb|300px]]
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| == Fall 2020 ==
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| {| cellpadding="8"
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| !align="left" | date
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| !align="left" | speaker
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| !align="left" | title
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| !align="left" | host(s)
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| |-
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| |Oct. 23
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| |Yu Li (Stony Brook)
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| | On the ancient solutions to the Ricci flow
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| |(Huang)
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| |-
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| |Oct. 30
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| |Yi Lai (Berkeley)
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| | A family of 3d steady gradient solitons that are flying wings
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| |(Huang)
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| |-
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| |Nov. 6
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| |Jiyuan Han (Purdue)
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| | On the Yau-Tian-Donaldson conjecture for generalized Kähler-Ricci soliton equations
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| |(Chen)
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| |-
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| |Nov. 13
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| |Ilyas Khan (Madison)
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| |Translating Surfaces with Finite Total Curvature are Planes
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| |(Local)
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| |-
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| |Nov. 20
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| |Max Hallgren (Cornell)
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| | TBA
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| |(Huang)
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| |-
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| |Dec. 4
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| |Yang Li (IAS)
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| | TBA
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| |(Chen)
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| |}
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| == Fall Abstracts ==
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| ===Yu Li===
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| Ancient solutions model the singularity formation of the Ricci flow. In two and three dimensions, we currently have complete classifications for κ-noncollapsed ancient solutions, while the higher dimensional problem remains open. This talk will survey some recent developments of κ-noncollapsed ancient solutions with nonnegative curvature in higher dimensions.
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| ===Yi Lai===
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| We found a family of $\mathbb{Z}_2\times O(2)$-symmetric 3d steady gradient Ricci solitons. We show that these solitons are all flying wings. This confirms a conjecture of Hamilton.
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| ===Jiyuan Han===
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| Let (X,D) be a log variety with an effective holomorphic torus action, and Θ be a closed positive (1,1)-current. For any smooth positive function g defined on the moment polytope of the torus action, we study the Monge-Ampere equations that correspond to generalized and twisted Kahler-Ricci g-solitons. We prove a version of Yau-Tian-Donaldson (YTD) conjecture for these general equations, showing that the existence of solutions is always equivalent to an equivariantly uniform Θ-twisted g-Ding-stability. When Θ is a current associated to a torus invariant linear system, we further show
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| that equivariant special test configurations suffice for testing the stability. Our results allow arbitrary klt singularities and generalize most of previous results on (uniform) YTD conjecture for (twisted) Kahler-Ricci/Mabuchi solitons or Kahler-Einstein metrics. This is a joint work with Chi Li.
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| ===Ilyas Khan===
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| In this talk we discuss some uniqueness results for mean curvature flow translators.
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| == Archive of past Geometry seminars ==
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| 2019-2020 [[Geometry_and_Topology_Seminar_2019-2020]]
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| <br><br>
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| 2018-2019 [[Geometry_and_Topology_Seminar_2018-2019]]
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| <br><br>
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| 2017-2018 [[Geometry_and_Topology_Seminar_2017-2018]]
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| <br><br>
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| 2016-2017 [[Geometry_and_Topology_Seminar_2016-2017]]
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| <br><br>
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| 2015-2016: [[Geometry_and_Topology_Seminar_2015-2016]]
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| <br><br>
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| 2014-2015: [[Geometry_and_Topology_Seminar_2014-2015]]
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| <br><br>
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| 2013-2014: [[Geometry_and_Topology_Seminar_2013-2014]]
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| <br><br>
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| 2012-2013: [[Geometry_and_Topology_Seminar_2012-2013]]
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| <br><br>
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| 2011-2012: [[Geometry_and_Topology_Seminar_2011-2012]]
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| <br><br>
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| 2010: [[Fall-2010-Geometry-Topology]]<br>
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| [[Dynamics_Seminar_2020-2021]]
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