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

Minimal projective bundle dimension and K-stability

Add to your list(s) Download to your calendar using vCal

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.

Tell a friend about this talk:

This talk is included in these lists:

This talk is not included in any other list

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity