The concentration week in Metric Spaces: Analysis, Embeddings into Banach Spaces, Applications forms one of the activities in the 2016 installment of the Workshop in Analysis and Probability which takes place every summer at Texas A&M University in College Station, Texas.

The conference aims to provide a forum for understanding and exploring various recent developments in metric geometry and Banach space geometry that revolve around the embeddability of metric spaces into Banach spaces. Topics will include analysis on metric spaces, nonlinear Banach space theory, low-distortion and low-dimensional embeddings into Banach spaces, and applications of metric embeddings into Banach spaces in geometric group theory and topology. The meeting aims to promote connections between analysts on metric spaces, Banach space geometers, discrete geometers, and group geometers.

The Workshop is supported in part by grants from the National Science Foundation. Minorities, women, graduate students, and young researchers are especially encouraged to attend.

The program will feature three lecture series.
Lecture series
1. Approximation Properties in Lipschitz Free Spaces

by Gilles Lancien (Université de Franche-Comté)

2. Metric Spaces in Theoretical Computer Science

by Konstantin Makarychev (Microsoft Research) and Yury Makarychev (Toyota Technological Institute at Chicago and University of Chicago)

3. Distortion of Dimension by Metric Space-Valued Sobolev Mapping

by Jeremy Tyson (University of Illinois at Urbana-Champaign)

Main Speakers
Mikael de la Salle, ENS Lyon
Steve Dilworth, University of South Carolina
Denka Kutzarova, University of Illinois at Urbana-Champaign
Sean Li, University of Chicago
Gilles Lancien, Université de Franche-Comté
Konstantin Makarychev, Microsoft Research
Yury Makarychev, Toyota Technological Institute at Chicago and University of Chicago
Masato Mimura, Tohoku University
Damian Osajda, Uniwersytet Wroclawski
Conrad Plaut, University of Tennessee
Beata Randrianantoanina, Miami University of Ohio
Gideon Schechtman, Weizmann Institute
Viktor Schroeder, University of Zürich
Jeremy Tyson, University of Illinois at Urbana-Champaign