Dear all,

The next Banach spaces webinar is on Friday May 8 9AM CDT (e.g., Dallas, TX time). Please join us at

https://unt.zoom.us/j/512907580

Speaker: Chris Gartland, University of Illinois Urbana Champagne Title: Lipschitz Free Spaces over Locally Compact Metric Spaces

Abstract. The talk is generally about questions of local-to-global phenomena in metric and Banach space theory. There are two motivating questions: Let X be a complete, locally compact metric space. (1) If every compact subset of X biLipschitz embeds into a Banach space with the Radon-Nikodym property, is the same true of X? (2) If the Lipschitz free space over K has the Radon-Nikodym property for every compact subset K of X, is the same true for the Lipschitz free space over X? We will first overview the theory of non-biLipschitz embeddability of metric spaces into Banach spaces with the Radon-Nikodym property, and then discuss an idea developed in an attempt to answer (2). We will show how this idea may be used to answer modified versions of (2) when the Radon-Nikodym property is replaced by the Schur or approximation property.

Upcoming schedule May 15 Gideon Schechtman Weizmann Institute of Science May 22 Pedro Tradacete Instituto de Ciencias Matemáticas May 29 Miguel Martin University of Granada June 5 Denny Leung National University of Singapore June 12 Noé de Rancourt Kurt Gödel Research Center June 19 Christian Rosendal UIC and NSF June 26 Pete Casazza University of Missouri

For more information past talks and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach

Thank you, and best regards,

Bunyamin Sari