CUNY Convergence 2014

CUNY Convergence of Metric Spaces Workshop

CUNY Convergence of Metric Spaces Workshop

August 7-8, 2014

CUNY Graduate Center

365 Fifth Avenue, NY NY 10016, Room 5417

https://sites.google.com/site/professorsormani/cuny-if-workshop-14

This impromptu unfunded workshop is aimed at doctoral students and postdocs.

All talks will be blackboard and chalk to allow for interaction.

Registration is free. Please email us to register.

Schedule:

Thursday August 7: Basics for Convergence of Metric Spaces

9:00-10:30 am "Gromov-Hausdorff Convergence and Gromov's Compactness Theorem"

Basic Definitions from work of Gromov presented by Prof. Plaut

11:00-12:30 am "Intrinsic Flat Convergence, Integral Current Spaces"

Basic definitions from work of Ambrosio-Kirchheim and Sormani-Wenger presented by Prof. Sormani

12:30-1:30 pm Lunch in Cafeteria on 8th Floor

1:30-2:00 pm "Explicit Methods for Estimating the Intrinsic Flat and Gromov-Hausdorff Distance"

Estimates appearing in work of Gromov, Lakzian-Sormani and Lee-Sormani presentated by Dr. Ling Xiao

2:15-2:45 pm "Arzela-Ascoli Theorems and Bolzano-Weierstrass Theorems"

Theorems of Grove-Petersen and Sormani presented by Prof. Sormani

2:45-3:15 pm Coffee Break on Eighth Floor

3:15-4:00 pm "Gromov's Filling Volume"

Gromov's classic paper applied in work of Greene-Petersen to produce GH limits presented by Prof. Katz

4:15-5:15 pm "Alexandrov Spaces"

Alexandrov Spaces with curvature bounded below and GH convergence presented by Prof. Searle

Friday August 8: More Advanced Recent Results

10:00-10:30 am "Intrinsic Flat Convergence of Delta Covers"

[Sinaei-Sormani] presented by Dr. Zahra Sinaei

10:45-11:15 am "Convergence of Circle Covers"

[Plaut-Wilkins] presented by Prof. Conrad Plaut

11:30-12:00 am "1/2 Geodesics and Gromov-Hausdorff Convergence"

[Adelstein] presented by Ian Adelstein

12:00-2:00 pm Lunch outside

2:00-2:45 pm "IF=GH Convergence for Manifolds with Boundaries Converging Nicely"

[Perales] presented by Raquel Perales

3:00-3:30 pm "Orientation and Alexandrov Spaces"

[Harvey-Searle] presented by Prof Searle

3:30-4:30 pm Coffee Break outside

4:00-4:30 pm "Intinsic Flat Convergence of Alexandrov Spaces"

[Li-Perales] presented by Nan Li (pending visa)

4:45-5:15 pm "Sewing Manifolds with Nonnegative Scalar Curvature"

[Basilio-Sormani] presented by Jorge Basilio

Participants:

Ian Adelstein [Dartmouth, Doctoral Student]

Jorge Basilio [CUNY Graduate Center, Doctoral Student]

Nishan Chatterji [CUNY Graduate Center, Doctoral Student]

Lan-Hsuan Huang [University of Connecticut]

Neil Katz [City Tech of CUNY]

Ivan Levkovitz [CUNY Graduate Center, Doctoral Student]

Mike Munn [U Missouri --> Courant Institute of Mathematical Sciences, New York University]

Santanu Nandi [CUNY Graduate Center, Doctoral Student]

Melvyn Nathanson [CUNY Graduate Center and Lehman College]

Raquel Perales [SUNY at Stony Brook, Doctoral Student]

Conrad Plaut [U Tennessee]

Michael Puls [John Jay College of CUNY]

Wei-Dong Ruan [Institute of Mathematics of Chinese Academy of Science in Beijing]

Catherine Searle [Oregon State University --> Wichita State University]

Zahra Sinaei [MSRI --> Courant Institute of Mathematical Sciences, New York University]

Christina Sormani [Lehman College and CUNY Graduate Center]

Ling Xiao [Cornell University --> Rutgers University]

Organizers: Christina Sormani and Neil Katz

This is an impromptu unfunded workshop that was organized because a number of people planned to be in NYC at this time who might participate and give presentations.