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SUMMARY:Minimal projective bundle dimension and K-stability - Nivedita Vis
 wanathan (Brunel University)
DTSTART:20240514T143000Z
DTEND:20240514T153000Z
UID:TALK214387@talks.cam.ac.uk
DESCRIPTION:The main objects of study are smooth toric Fano varieties. A c
 lassical result of Batyrev implies that given such a variety $X$\,&nbsp\; 
 a particular relation among a subset of primitive generators of the fan of
  $X$ exists\, called the centrally symmetric primitive relation. Such rela
 tions in turn describe the geometry of $X$. We define a new invariant call
 ed the minimal projective bundle dimension $m(X)$ depending on the length 
 of such a relation which has wide applications.&nbsp\;\nIn this talk\, I w
 ill detail the classification of toric Fano manifolds done using this inva
 riant. In addition to this\, I would like to explore the connections betwe
 en the invariant $m(X)$ and K-stability of $X$.\n&nbsp\;\nThe work on the 
 invariant\, done to explore the nature of higher Fano condition is joint w
 ork with Carolina Araujo\, Roya Beheshti\, Ana-Maria Castravet\, Kelly Jab
 busch\, Svetlana Makarova and Enrica Mazzon.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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