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Transportation Cost spaces and their embeddings into $L_1$

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OOEW04 - Structure and Randomness - a celebration of the mathematics of Timothy Gowers

For  a pointed finite  metric space  $(M,d)$ let  $Lip_0(M)$ the space of Lipschitzfunctions $f$ on $M$, with $f(0)=0$, and  let $F(M)$  the Lipschitz free space on $M$, i.e. the  linear span of the Dirac measures,  also known as  Transportation Cost Space, or Wasserstein 1 space on $M$. In this talk we discuss lower and upper bounds  for the distortion of embeddings of $F(M)$ into $L_1$-spaces.

This talk is part of the Isaac Newton Institute Seminar Series series.

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