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SUMMARY:Distortion and moment measure of non-archimedean psh metric - Eiji
  Inoue (RIKEN)
DTSTART:20240516T130000Z
DTEND:20240516T140000Z
UID:TALK214405@talks.cam.ac.uk
DESCRIPTION:Intersection formula of Donaldson-Futaki invariant is crucial 
 in Boucksom-Jonsson's non-archimedean approach to K-stability: non-archime
 dean Monge-Ampere measure and energy pairing can describe intersection app
 earing in Donaldson-Futaki invariant.&nbsp\;\nIn a study of optimal (K-)de
 stabilization\, we consider invariants which are expressed by higher equiv
 ariant intersection. Higher equivariant intersection of a test configurati
 on \\phi cannot be described by energy pairing of \\phi. To describe this\
 , I introduced non-archimedean moment measure. It is a measure on the prod
 uct of Berkovich space and the real line whose marginals are non-archimede
 an Monge-Ampere measure and Duistermaat-Heckman measure.&nbsp\;\nIn this t
 alk\, I newly introduce distortion of non-archimedean psh metric. It trans
 forms a non-archimedean psh metric \\phi to another non-archimedean psh me
 tric Dist&nbsp\;(\\phi) by which we can reduce a certain integration with 
 respect to moment measure of \\phi to an integration with respect to NA Mo
 nge-Ampere measure of Dist (\\phi). This enables us to express non-archime
 dean mu-entropy of \\phi by Donaldson-Futaki invariant of Dist (\\phi).&nb
 sp\;
LOCATION:Seminar Room 1\, Newton Institute
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