Geometry and Topology Seminar: Difference between revisions

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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]]


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] 
(available every '''Friday 1:00pm - 2:30pm''').
<br>
 
 
[[Image:Hawk.jpg|thumb|300px]]
 
 
== Fall 2020 ==
 
{| cellpadding="8"
!align="left" | date
!align="left" | speaker
!align="left" | title
!align="left" | host(s)
|-
|Oct. 23
|Yu Li (Stony Brook)
| On the ancient solutions to the Ricci flow
|(Huang)
|-
|Oct. 30
|Yi Lai (Berkeley)
| A family of 3d steady gradient solitons that are flying wings
|(Huang)
|-
|Nov. 6
|Jiyuan Han (Purdue)
| On the Yau-Tian-Donaldson conjecture for generalized Kähler-Ricci soliton equations
|(Chen)
|-
|Nov. 13
|Ilyas Khan (Madison)
|Translating Surfaces with Finite Total Curvature are Planes
|(Local)
|-
|Nov. 20
|Max Hallgren (Cornell)
| TBA
|(Huang)
|-
|Dec. 4
|Yang Li (IAS)
| TBA
|(Chen)
|}
 
== Fall Abstracts ==
 
===Yu Li===
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.
 
===Yi Lai===
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.
 
===Jiyuan Han===
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
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.
 
===Ilyas Khan===
In this talk we discuss some uniqueness results for mean curvature flow translators.
 
== Archive of past Geometry seminars ==
2019-2020 [[Geometry_and_Topology_Seminar_2019-2020]]
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2018-2019  [[Geometry_and_Topology_Seminar_2018-2019]]
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2017-2018 [[Geometry_and_Topology_Seminar_2017-2018]]
<br><br>
2016-2017  [[Geometry_and_Topology_Seminar_2016-2017]]
<br><br>
2015-2016: [[Geometry_and_Topology_Seminar_2015-2016]]
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2014-2015: [[Geometry_and_Topology_Seminar_2014-2015]]
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2013-2014: [[Geometry_and_Topology_Seminar_2013-2014]]
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2012-2013: [[Geometry_and_Topology_Seminar_2012-2013]]
<br><br>
2011-2012: [[Geometry_and_Topology_Seminar_2011-2012]]
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2010: [[Fall-2010-Geometry-Topology]]<br>
[[Dynamics_Seminar_2020-2021]]

Latest revision as of 14:55, 13 June 2025

Geometry and Topology is now the Differential Geometry Seminar.