Abstract:

A fake projective plane is a smooth complex surface which has

the same Betti numbers as the complex projective plane but not

hiholomorphic to it. These are surfaces with the smallest Euler-Poincare

characteristic among smooth surfaces of general type.The first example

was constructed by Mumford and a few more were found later. The main

goal of the talk is to explain the recent work of Prasad and myself

on classification and construction of fake projectiveplanes in each class.

The final result is a consequence of techniques in geometry, number theory,

algebraic groups and computational methods. We will also mention some

further studies and generalization of the results.

A fake projective plane is a smooth complex surface which has

the same Betti numbers as the complex projective plane but not

hiholomorphic to it. These are surfaces with the smallest Euler-Poincare

characteristic among smooth surfaces of general type.The first example

was constructed by Mumford and a few more were found later. The main

goal of the talk is to explain the recent work of Prasad and myself

on classification and construction of fake projectiveplanes in each class.

The final result is a consequence of techniques in geometry, number theory,

algebraic groups and computational methods. We will also mention some

further studies and generalization of the results.

April 16th, Wednesday, 5:00-6:00 pm

Mathematics
520

Tea
will be served at 4:30pm