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“Classifying” fake projective planes

November 1, 2022 at 16:0017:00 CET

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

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

Details

Date:
November 1, 2022
Time:
16:00 – 17:00 CET

Venue

Zoom

Organizers

Alex Küronya
Martin Möller
Jakob Stix
Martin Ulirsch
Annette Werner