Parabolic stochastic quantisation of the fractional $Φ^4_3$ model in
the full subcritical regime
 Duch, P Gubinelli, M Rinaldi, P (31 Mar 2023) http://arxiv.org/abs/2303.18112v3
Mon, 24 Apr 2023
15:30
L5

Coarse embeddings, and yet more ways to avoid them

David Hume
(Bristol)
Abstract

Coarse embeddings (maps between metric spaces whose distortion can be controlled by some function) occur naturally in various areas of pure mathematics, most notably in topology and algebra. It may therefore come as a surprise to discover that it is not known whether there is a coarse embedding of three-dimensional real hyperbolic space into the direct product of a real hyperbolic plane and a 3-regular tree. One reason for this is that there are very few invariants which behave monotonically with respect to coarse embeddings, and thus could be used to obstruct coarse embeddings.


 

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