# 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.

Speaker:

Lev Borisov

Rutgers University

Event Location:

Fine Hall 322