Explicit equations of a fake projective plane.

Tuesday, December 12, 2017 -
4:30pm to 5:30pm
Fake projective planes are complex algebraic surfaces of general type whose Betti numbers are the same as that of a usual projective plane. The first example was constructed by Mumford about40 years ago by 2-adic uniformization. There are 50 complex conjugate pairs of such surfaces, given explicitly as ball quotients (Cartwright+Steger). However, a ball quotient description does not on its own lead to an explicit projective embedding. In a joint work with JongHae Keum, we find equations of one pair of fake projective planes in bicanonical embedding, which is so far the only result of this kind.
Lev Borisov
Rutgers University
Event Location: 
Fine Hall 322