ABSTRACT

Manifolds with non-negative sectional curvature are rare and difficult to find, with interesting topological phenomena traditionally being restricted by a dearth of methods of construction. In this talk, I will describe a large family of seven-dimensional manifolds with non-negative curvature, leading to examples of exotic diffeomorphism types, non-standard homotopy types and fake versions of familiar friends. This is based on joint work with Sebastian Goette and Krishnan Shankar.     

ZOOM INFO

ID：675 2609 5142

Password：069487

https://zoom.com.cn/j/67526095142?pwd=Q0pVYzB4OTRMeXQvaTRLTmU5QjRodz09

BRIEF BIO

Dr. Martin Kerin is currently a Lecturer in Mathematics in the School of Mathematics, Statistics and Applied Mathematics at NUI Galway. Kerin received his PhD in 2008 from the University of Pennsylvania under the supervision of Wolfgang Ziller. From 2008 to 2019, he was a member of the AG-Differentialgeometrie in Münster, where he completed his Habilitation under the guidance of Burkhard Wilking. In 2016, he spent a semester as a Research Member at MSRI in Berkeley during the Program on Differential Geometry, while in 2017 he spent a semester in Bonn as Professurvertreter. His research interests lie primarily in differential geometry, In particular, he is interested in positive and non-negative sectional curvature, geometry and topology of homogeneous spaces and biquotients, isometric Lie group actions and compact transformation groups, and rational homotopy theory. For more information about him, please visit http://www.maths.nuigalway.ie/~kerin/.

For more information about this seminar, please see below.

【Wednesday Online Seminar on Geometric Analysis】

This is the 16th talk of Wednesday Online Seminar on Geometric Analysis, which is an online seminar organized by Prof. Gang Tian, Prof. Jie Qing, Prof. Zhenlei Zhang, and Prof. Xiaohua Zhu.

Below is a list of invited speakers:

April 8, 2020        Wenshuai Jiang (Zhejiang University)

April 15, 2020      Chi Li (Purdue University)

April 22, 2020      Lu Wang (Caltech)

April 29, 2020      Jianchun Chu (Northwestern University)

May 6, 2020         Richard Bamler (UC Berkeley)

May 13, 2020       Xin Zhou (UC Santa Barbara)

May 20, 2020       Daniel Stern (University of Toronto)

May 27, 2020       Jeff Streets (UC Irvine)

June 3, 2020         Chenyang Xu (MIT)

June 10, 2020       Yi Lai (UC Berkeley)

June 17, 2020       Ben Andrews (Australian National University)

June 24, 2020       Shiguang Ma (Nankai University) 

July 1, 2020           Yuchen Liu (Yale University)

July 7, 2020           Min-Chun Hong (The University of Queensland)

July 15, 2020         Jian Song (Rutgers University)

September 8         Martin Kerin (NUI Galway)