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UID:news677@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190212T225547
DTSTART;TZID=Europe/Zurich:20160318T103000
SUMMARY:Seminar Algebra and Geometry: Giulio Codogni (Roma Tre)
DESCRIPTION:We prove (using algebro-geometric methods) two results that all
 ow to  test the positivity of the Donaldson-Futaki weights of arbitrary  p
 olarised varieties via test-configurations which are equivariant with  res
 pect to a maximal torus in the automorphism group. It follows in  particul
 ar that there is a purely algebro-geometric proof of the  K-stability of p
 rojective spaces (or more generally of smooth toric  Fanos with vanishing 
 Futaki character\, as well as of the examples of  non-toric Kahler-Einstei
 n Fano threefolds due to Ilten and Suss) and  that K-stability for toric p
 olarised manifolds can be tested via toric  test-configurations. A further
  application is a proof of the K-stability  of constant scalar curvature p
 olarised manifolds with continuous  automorphisms. Our approach is based o
 n the method of filtrations  introduced by Wytt Nystrom and Szekelyhidi. T
 his is a joint work with J.  Stoppa.
X-ALT-DESC: We prove (using algebro-geometric methods) two results that all
 ow to  test the positivity of the Donaldson-Futaki weights of arbitrary  p
 olarised varieties via test-configurations which are equivariant with  res
 pect to a maximal torus in the automorphism group. It follows in  particul
 ar that there is a purely algebro-geometric proof of the  K-stability of p
 rojective spaces (or more generally of smooth toric  Fanos with vanishing 
 Futaki character\, as well as of the examples of  non-toric Kahler-Einstei
 n Fano threefolds due to Ilten and Suss) and  that K-stability for toric p
 olarised manifolds can be tested via toric  test-configurations. A further
  application is a proof of the K-stability  of constant scalar curvature p
 olarised manifolds with continuous  automorphisms. Our approach is based o
 n the method of filtrations  introduced by Wytt Nystrom and Szekelyhidi. T
 his is a joint work with J.  Stoppa.
DTEND;TZID=Europe/Zurich:20160318T120000
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