Home /  Embedding Problems in Banach Spaces and Group Theory

Workshop

Embedding Problems in Banach Spaces and Group Theory October 17, 2011 - October 21, 2011
Registration Deadline: October 17, 2011 over 12 years ago
To apply for Funding you must register by: July 17, 2011 over 12 years ago
Parent Program:
Organizers William Johnson* (Texas A&M University), Bruce Kleiner (Yale University and Courant Institute), Gideon Schechtman (Weizmann Institute), Nicole Tomczak-Jaegermann (University of Alberta), and Alain Valette (Université de Neuchâtel)
Speaker(s)

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Description
This workshop is devoted to various kinds of embeddings of metric spaces into Banach spaces, including biLipschitz embeddings, uniform embeddings, and coarse embeddings, as well as linear embeddings of finite dimensional spaces into low dimensional $ell_p^n$ spaces. There will be an emphasis on the relevance to geometric group theory, and an exploration into the use of metric differentiation theory to effect embeddings.   Bibliography (PDF)       Accommodation: A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. A block of rooms has been reserved at the Hotel Durant. Please mention MSRI and the workshop name when making reservations via phone, fax or e-mail. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "123MSRI" promo code in the box. The cut-off date for reservations is Midnight on the day of Tuesday, September 20, 2011. The rate is $110 per night plus tax. MSRI has a preferred rate of $135 at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI rate; or go to Hotel Shattuck Plaza and enter dates of stay at top of screen and click Book Now.  Once on the reservation page, click Preferred/Corporate Rate Accounts and input the code "MSRI11".  
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Oct 17, 2011
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Embedding 1-dimensional spaces in L_1
Bruce Kleiner (New York University, Courant Institute)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Discretization and Affine Approximation in High Dimensions
Sean Li
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Aspherical groups and manifolds with extreme properties
Mark Sapir (Vanderbilt University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Embeddings into reflexive Banach spaces
Florent Baudier
Oct 18, 2011
Tuesday
09:30 AM - 10:30 AM
  Embedding Questions and Index Theory
John Roe (Pennsylvania State University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Sparsity and Non-Euclidean Embeddings
Olivier Guédon (Université de Marne-la-Vallée)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Low-Distortion Embeddings of Graphs with Large Girth
Mikhail Ostrovskii
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The Behaviour of (Equivariant) Hilbert Space Compression under Group Constructions
Dennis Dreesen
04:30 PM - 06:30 PM
  Welcome Reception
Oct 19, 2011
Wednesday
09:30 AM - 10:30 AM
  Fibred Embedding into Hilbert Space and its Applications
Guoliang YU (Texas A & M University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Asymptotic geometry of Banach spaces and uniform quotient maps
Nirina Randrianarivony
Oct 20, 2011
Thursday
09:30 AM - 10:30 AM
  Embeddings of Groups into Hilbert Space and Speed of Random Walks
Yuval Peres (Microsoft Research)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Planar valued Lipschitz functions on Hilbert spaces
Michael Doré
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Thin Sets, Differentiability of Functions and Geometric Measure Theory
Olga Maleva (University of Birmingham)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Embedding Nilpotent Groups into Banach Spaces
Romain Tessera (Centre National de la Recherche Scientifique (CNRS))
Oct 21, 2011
Friday
09:30 AM - 10:30 AM
  Quantitative Differentiation
Jeff Cheeger (New York University, Courant Institute)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Extending Lipschitz Mappings Continuously
Eva Kopecka (Leopold-Franzens Universität Innsbruck)