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SUMMARY:Geodesics between algebraic models via Berkovich geometry - Rémi 
 Reboulet\, University of Cambridge
DTSTART:20220525T131500Z
DTEND:20220525T141500Z
UID:TALK173879@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:To a projective variety over a non-Archimedean field\, one can
  associate a topological space\, its Berkovich analytification Xan\, which
  nicely and compactly organizes the data of models (or degenerations) of X
 . More generally\, if L is for example an ample line bundle on X\, one can
  encode a degeneration of (X\,L) as a metric on the Berkovich line bundle 
 L^an. In this talk I explain some basics of Berkovich geometry\, and how o
 ne can do geometric analysis in such spaces of degenerations\, for example
  by giving them metric structures and constructing geodesic segments.
LOCATION:CMS MR13
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