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The Hilbert--Einstein functional and the Sasaki-Futaki invariant

Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016

March 25, 2016 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Eveline Legendre (Université de Toulouse III (Paul Sabatier))
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • algebraic geometry and GAGA

  • mathematical physics

  • complex differential geometry

  • Kahler metric

  • mirror symmetry

  • vector fields on complex manifolds

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14474
Abstract

I will show how the Hilbert--Einstein functional detects the
Reeb vector fields having a vanishing transversal Futaki
invariant and so that it is an obstruction to the existence
of constant scalar curvature Sasaki metrics. I will also discuss
the relation of this functional with the sasakian
K-stability defined by Collins--Szekelyhidi
Supplements No Notes/Supplements Uploaded
Video/Audio Files

14474

H.264 Video 14474.mp4 324 MB video/mp4 rtsp://videos.msri.org/14474/14474.mp4 Download
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