positivity questions in K\"ahler-Einstein theory

Friday, October 5, 2012 -
3:00pm to 5:00pm
In this talk, I describe how the existence of both complete and incomplete K"ahler-Einstein(KE) metrics on quasi-projective varieties motivates a number of questions around the theme of positivity in complex geometry. After describing in some details the case of complex surfaces, I discuss some higher dimensional results. Finally, I describe some applications not directly connected with the theory of singular KE metrics. For example, I show how to count the number of maximal parabolic subgroups in neat arithmetic lattices of the Bergman ball.
Luca Di Cerbo
Duke University
Event Location: 
Fine Hall 314