Difference between revisions of "Geometry and Topology Seminar"

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The [[Geometry and Topology]] seminar meets in room '''901 of Van Vleck Hall''' on '''Fridays''' from '''1:20pm - 2:10pm'''.
 
The [[Geometry and Topology]] seminar meets in room '''901 of Van Vleck Hall''' on '''Fridays''' from '''1:20pm - 2:10pm'''.
 
<br>  
 
<br>  
For more information, contact [http://www.math.wisc.edu/~kjuchukova Alexandra Kjuchukova] or [https://sites.google.com/a/wisc.edu/lu-wang/ Lu Wang] .
+
For more information, contact Shaosai Huang.
  
 
[[Image:Hawk.jpg|thumb|300px]]
 
[[Image:Hawk.jpg|thumb|300px]]
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== Fall 2017 ==
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 +
== Fall 2019 ==
  
 
{| cellpadding="8"
 
{| cellpadding="8"
Line 15: Line 16:
 
!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
|-
|September 8
+
|Oct. 4
|TBA
+
|Ruobing Zhang (Stony Brook University)
|TBA
+
| Geometric analysis of collapsing Calabi-Yau spaces
|TBA
+
|(Chen)
|-
 
|September 15
 
|TBA
 
|TBA
 
|TBA
 
|-
 
|September 22
 
|TBA
 
|TBA
 
|TBA
 
|-
 
|September 29
 
|Ke Zhu(Minnesota State University)
 
|Isometric Embedding via Heat Kernel
 
|Bing Wang
 
|-
 
|October 6
 
|Shaosai Huang(Stony Brook)
 
|TBA
 
|Bing Wang
 
|-
 
|October 13
 
|(reserved)
 
|TBA
 
|Kjuchukova
 
|-
 
|October 20
 
|Shengwen Wang (Johns Hopkins)
 
|TBA
 
|Lu Wang
 
 
|-
 
|-
|October 27
 
|Marco Mendez-Guaraco (Chicago)
 
|TBA
 
|Lu Wang
 
 
|-
 
|-
|November 3
+
|Oct. 25
|TBA
+
|Emily Stark (Utah)
|TBA
+
| TBA
|TBA
+
|(Dymarz)
 
|-
 
|-
|November 10
+
|Nov. 8
|TBA
+
|Max Forester (University of Oklahoma)
|TBA
+
| TBA
|TBA
+
|(Dymarz)
 
|-
 
|-
|November 17
+
|Nov. 22
|Ovidiu Munteanu (University of Connecticut)
+
|Yu Li (Stony Brook University)
|TBA
+
|On the structure of Ricci shrinkers
|Bing Wang
+
|(Huang)
|-
 
|<b>Thanksgiving Recess</b>
 
|
 
|
 
|
 
|-
 
|December 1
 
|TBA
 
|TBA
 
|TBA
 
|-
 
|December 8
 
|TBA
 
|TBA
 
|TBA
 
 
|-
 
|-
 
|}
 
|}
  
== Fall Abstracts ==
+
==Fall Abstracts==
 +
 
 +
===Ruobing Zhang===
  
=== Marco Mendez-Guaraco ===
+
This talk centers on the degenerations of Calabi-Yau metrics. We will focus on the interactions between algebraic degenerations and metric convergence with highly singular behaviors in the collapsing case. As the complex structures degenerate, the collapsing Calabi-Yau metrics may exhibit various wild geometric properties with highly non-algebraic features.
"TBA"
 
  
=== Ke Zhu===
+
First, as motivating examples, we will describe our recent results on the new collapsing mechanisms of K3 surfaces. Next, we will switch to higher dimensions and we will exhibit some entirely new constructions of degenerating Calabi-Yau metrics which are expected to work in broader contexts. Complex structures degeneration will be accurately characterized by the bubbling and singularity analysis in a geometric manner.
"Isometric Embedding via Heat Kernel"
 
  
The Nash embedding theorem states that every Riemannian manifold can be isometrically embedded into some Euclidean space with dimension bound. Isometric means preserving the length of every path. Nash's proof involves sophisticated perturbations of the initial embedding, so not much is known about the geometry of the resulted embedding.  In this talk, using the eigenfunctions of the Laplacian operator, we construct canonical isometric embeddings of compact Riemannian manifolds into Euclidean spaces, and study the geometry of embedded images. They turn out to have large mean curvature (intuitively, very bumpy), but the extent of oscillation is about the same at every point. This is a joint work with Xiaowei Wang.
+
===Emily Stark===
  
=== Shaosai Huang ===
 
 
"TBA"
 
"TBA"
  
=== Ovidiu Munteanu ===
+
===Max Forester===
"TBA"
+
 
 +
“TBA”
  
=== Shengwen Wang ===
+
===Yu Li===
"TBA"
+
We develop a structure theory for non-collapsed Ricci shrinkers without any curvature condition. As an application, we show that any Ricci shrinker whose second eigenvalue of the curvature operator is positive must be a quotient of sphere.
  
 
== Archive of past Geometry seminars ==
 
== Archive of past Geometry seminars ==
 +
2018-2019  [[Geometry_and_Topology_Seminar_2018-2019]]
 +
<br><br>
 +
2017-2018 [[Geometry_and_Topology_Seminar_2017-2018]]
 +
<br><br>
 
2016-2017  [[Geometry_and_Topology_Seminar_2016-2017]]
 
2016-2017  [[Geometry_and_Topology_Seminar_2016-2017]]
 
<br><br>
 
<br><br>

Latest revision as of 22:01, 24 September 2019

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.

Hawk.jpg



Fall 2019

date speaker title host(s)
Oct. 4 Ruobing Zhang (Stony Brook University) Geometric analysis of collapsing Calabi-Yau spaces (Chen)
Oct. 25 Emily Stark (Utah) TBA (Dymarz)
Nov. 8 Max Forester (University of Oklahoma) TBA (Dymarz)
Nov. 22 Yu Li (Stony Brook University) On the structure of Ricci shrinkers (Huang)

Fall Abstracts

Ruobing Zhang

This talk centers on the degenerations of Calabi-Yau metrics. We will focus on the interactions between algebraic degenerations and metric convergence with highly singular behaviors in the collapsing case. As the complex structures degenerate, the collapsing Calabi-Yau metrics may exhibit various wild geometric properties with highly non-algebraic features.

First, as motivating examples, we will describe our recent results on the new collapsing mechanisms of K3 surfaces. Next, we will switch to higher dimensions and we will exhibit some entirely new constructions of degenerating Calabi-Yau metrics which are expected to work in broader contexts. Complex structures degeneration will be accurately characterized by the bubbling and singularity analysis in a geometric manner.

Emily Stark

"TBA"

Max Forester

“TBA”

Yu Li

We develop a structure theory for non-collapsed Ricci shrinkers without any curvature condition. As an application, we show that any Ricci shrinker whose second eigenvalue of the curvature operator is positive must be a quotient of sphere.

Archive of past Geometry seminars

2018-2019 Geometry_and_Topology_Seminar_2018-2019

2017-2018 Geometry_and_Topology_Seminar_2017-2018

2016-2017 Geometry_and_Topology_Seminar_2016-2017

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