Matthew Stover (Temple University)

Abstract:

 A fake projective plane is a smooth complex projective surface with the same 
complex cohomology as the projective plane. I will describe several more refined 
"classifications", starting with the very vague "they are ball quotients", describing 
a shorter proof (with shortcut via work of Esnault-Groechenig) of Klingler's theorem 
that the associated lattice in PU(2,1) is arithmetic, and ending with my recent proof 
that there are exactly 46 up to the action of Aut(C) (equivalently, isomorphism of 
étale fundamental group). 

Oberseminar Algebra und Geometrie

Zoom
meeting-ID: 635 5834 1373
password: the number of fake projective planes up to biholomorphism (read wikipedia carefully)