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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Minimal projective bundle dimension and K-stability

## Minimal projective bundle dimension and K-stabilityAdd to your list(s) Download to your calendar using vCal - Nivedita Viswanathan (Brunel University)
- Tuesday 14 May 2024, 15:30-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. EMGW04 - K-stability and moment maps The main objects of study are smooth toric Fano varieties. A classical result of Batyrev implies that given such a variety $X$, a particular relation among a subset of primitive generators of the fan of $X$ exists, called the centrally symmetric primitive relation. Such relations in turn describe the geometry of $X$. We define a new invariant called the minimal projective bundle dimension $m(X)$ depending on the length of such a relation which has wide applications. In this talk, I will detail the classification of toric Fano manifolds done using this invariant. In addition to this, I would like to explore the connections between the invariant $m(X)$ and K-stability of $X$. The work on the invariant, done to explore the nature of higher Fano condition is joint work with Carolina Araujo, Roya Beheshti, Ana-Maria Castravet, Kelly Jabbusch, Svetlana Makarova and Enrica Mazzon. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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