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 Alexandra Kjuchukova or Lu Wang .

Fall 2017

date	speaker	title	host(s)
September 8	TBA	TBA	TBA
September 15	TBA	TBA	TBA
September 22	TBA	TBA	TBA
September 29	Ke Zhu(Minnesota State University)	""	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	TBA	TBA	TBA
November 10	TBA	TBA	TBA
November 17	Ovidiu Munteanu (University of Connecticut)	TBA	Bing Wang
Thanksgiving Recess
December 1	TBA	TBA	TBA
December 8	TBA	TBA	TBA

Fall Abstracts

Marco Mendez-Guaraco

"TBA"

Ke Zhu

"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.

Shaosai Huang

"TBA"

Ovidiu Munteanu

"TBA"

Shengwen Wang

"TBA"

Archive of past Geometry seminars

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