In-Person Talk 

There are 50 complex conjugate pairs of fake projective planes, realized as quotients of the complex 2-ball. However, in most cases there are no known explicit embeddings into a projective space. In this talk I will describe my work over the past several years (with multiple co-authors) which resulted in explicit equations for 9 out of the 50 pairs. It is a wild ride in the field of computer assisted AG computations.