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SUMMARY: Special Test Configurations - Chenyang Xu (MIT)
DTSTART:20120411T090000Z
DTEND:20120411T100000Z
UID:TALK36836@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:(Joint with Chi Li) For any test configuration (TC) of a Fano 
 manifold\, we will use MMP theory to construct a new TC with the central f
 iber being a Q-Fano variety (in particular it's normal) such that the Dona
 ldson-Futaki invariant of the new TC is smaller than the original one afte
 r scaling by the factor of the base change. We call a TC with a Q-Fano cen
 tral fiber a special TC. The above theorem gives an affirmative answer to 
 Tian's conjecture which says that to test K-(semi)stability of a Fano mani
 folds\, it suffices to only test on special TC.\n
LOCATION:MR2
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