Optimal bounds for the volumes of Kahler-Einstein Fano manifolds

Date: 
2015/11/13 Fri 10:30 - 12:00
Room: 
Room 152, Building No.3
Speaker: 
Kento Fujita
Affiliation: 
Kyoto
Abstract: 

We show that any $n$-dimensional Kahler-Einstein Fano manifold
$X$ satisfies that the anti-canonical volume is less than or equal to
the value $(n+1)^n$. Moreover, the equality holds if and only if
$X$ is isomorphic to the projective space.