Geometry and Topology Seminar 2019-2020
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.
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