Back to Departmental Colloquium: Spring 2006
Departmental Colloquium
Date: Thursday, Feb 2, 2006
Time: 4:15PM
Location: JWB 335
Sai Kee Yeung
Purdue University
Title |
Classification and construction of fake projective planes |
Abstract |
Fake projective planes are smooth complex surfaces different from the complex projective plane but has the same Betti numbers as the latter. The first example was constructed by Mumford at late seventies using p-adic uniformization and two more were constructed more recently by Ishida-Kato by related methods. A natural problem is to determine all such surfaces. In this talk I would explain a result of Prasad and myself in which we show that there are exactly twelve classes of fake projective planes and construct explicit examples from each class. |
Number Theory
Data Science and Machine Learning
Applied Mathematics